Recommendations for father and 10 years old son to make them love gaming?

lego games, brother a tale of two sons

You have son in similiar age to my own (11).

• Galaxy of Pen and paper - a good story, chilld can fight in battles.
• Craft the world - good to play on multiplayer (need 2 copies of game)
• Supreme Commander 2- first game on PC which we playerd together
• Scalak - good for multi-level thinking
• Gun Bombers (2 players)
• Factorio - (2+ players)
• Hammerwatch (2 players)
• Forts (2 players)
• Slime Rancher
• Broforce (2 players)

Some games are only 1-player... but you still can look and support of your child playing.
https://www.youtube.com/channel/UCLyYjjlACQW7YKE5iD8ASVQ/playlists?view_as=subscriber

Lego Whatever has been mentioned already
Bomberman's not easily available on PC these days... (Blame Konami for that I guess)
Shantae series might work, not sure if it has co-op or local multiplayer though.
Sonic Racing games do have local MP I believe.

(Multiplayer's a good idea as it keeps the parent engaged with the kid..)

Some board games on PC, maybe? Talisman, Small World 2, Ticket to Ride, Witcher Adventure Game. Hot seat mode is on in those.

Age of Empires II HD Edition, Rise of Nations, Civilization 5 Complete, Tropico 4 Collectors Edition. If both of them like a bit of history and strategy games such as building your own country and army.

Since the father+son bought a gamepad, Stick Fight: The Game (really funny game), Street Fighters IV, Rivals of Aether (like super smash bros), Bastion (classic game for all ages), or any of the Trine games.

Another fun game is 100% Orange Juice if the father+son like anime types of games, it reminds me of the board game Sorry! or Ludo in Asia.

As others have said, it really depends on what the dad and kid are into. Here are some general suggestions from a variety of genres:

The Counting Kingdom: A cute, fun math puzzle game.

Rime: Apparently the PC's answer to ICO.

The Sea Will Claim Everything: I'd love to give this to my kids if I ever have any. If the boy is patient and loves reading, I think this would be wonderful choice.

Cosmochoria: Deeply silly, extremely accessible action/strategy game.

Indiana Jones and the Fate of Atlantis: Or any of the other classic LucasArts games, really. Day of the Tentacle would be a great pick, too.

King of Dragon Pass: I originally heard about this from a friend who said it was his favourite game as a kid.

The Room: A mildly creepy first-person puzzler. Great for first-time gamers, it was originally a mobile game.

Little Inferno: A puzzle game with simple gameplay and a satirical sense of humour. It might be a little too dark if the kid is particularly sensitive (one of the items you burn is a school bus full of children who scream, for instance), but at 10 he's probably fine. World of Goo is great, too.

Wuppo: A goofy, underrated indie action-platformer that would be great for kids. You can troll most of the characters for a laugh, but you get rewarded for kindness. It also has tons and tons of different things to do, see, and explore.

Scribblenauts, both games

Or buy a Nintendo Switch

Castle Crashers and Lego Marvel Super Heroes.

A few games spring to mind which serve as a brilliant introduction to gaming generally, although they'd be more based on taking turns, or just competing to beat each other's scores, rather than both playing at the same time.

Zuma's Revenge is a great, immediately accessible game which builds to significant difficulty and develops the same twitch mouse reflexes needed in more "hardcore" games of all genres.

Plants vs. Zombies is similarly fun and friendly and accessible but develops strategic thinking and basic resource management for more serious strategy games.

Finally, it's not without reason that Portal is one of the most popular and highly rated games of all time. The design is staggeringly perfect, such that I've seen people who have literally never played a video game immediately jump in and quickly start thinking about problem solving from a gamer's perspective, while simultaneously learning how to manoeuvre themselves in a first person game.

Hmm Father & Son:
Creativerse / Almightree: The Last Dreamer / The Beggar's Ride / The First Tree / Forward to the Sky / Talewind / The Last Tinker™: City of Colors / Spaera / Sonic & SEGA All-Stars Racing / PuzzleQuest: Challenge of the Warlords / Marooners / Cat Quest / Brothers - A Tale of Two Sons / Mantis Burn Racing® / Worms Revolution / Skylar & Plux: Adventure On Clover Island / TY the Tasmanian Tiger / TY the Tasmanian Tiger 2 / Ginger: Beyond the Crystal / DuckTales: Remastered / My Time At Portia / ASTRONEER / Stellar Overload / Hob / Staxel / Portal Knights / Psychonauts / Slime Rancher / Yonder: The Cloud Catcher Chronicles / Eco / A Hat in Time / RiME / Yooka-Laylee / Crash Bandicoot™ N. Sane Trilogy / Ni no Kuni™ II: Revenant Kingdom.
And any ,,LEGO,, game .

+1 for Stardew Valley! In addition to being a farming sim (which is purely optionally), it's also a fishing sim, treasure hunt game (finding buried artifacts, foraging for fruits), dungeon crawler (if you want), and (to a limited extent) a human interaction sim (e.g. make friends with NPC's). There's the option to get furnishings and decorate your own home, or go and cut down trees and plant new forests (without which you'd run out of trees to chop down), etc.

I imagine it would be obvious to see if the boy gravitates towards dungeon crawling games: he'd just be in the mine all the time clearing it of monsters. On the other hand, spending more time with the farming management aspect would probably mean more interest in playing sim games (like Sim City, Civilization), and spending the majority of time enjoying & interacting with NPC's might mean another game with a strong story would be appealing (The Longest Journey, Baldur's Gate, etc.). Just my 2 cents' worth. :)

I'm surprised that no one has mentioned "The Incredible Machine" (aka "Contraptions" on Steam). Everyone can collaborate on solving the puzzles. It's not multi-player, but Plants vs. Zombies is a kid favorite.

The games that are likely to work best are co-op games that can be played together, and all of these support co-op:
LEGO
Sonic and All Stars Racing Transformed
Rayman Origins
Terraria / Starbound
Trine series
Rocket League
Divinity: Original Sin
Keep Talking and Nobody Explodes
Castle Crashers
Torchlight II / Titan Quest / Diablo 3 (I actually recommend the console version of D3 for co-op, if that's an option)
Magicka
Overcooked
Yooka-Laylee
Never Alone
Hidden in Plain Sight

I recommend all of those are great games to play together.

And later, when more violent games are more acceptable:
Borderlands
Lara Croft and the Guardian of Light - one of my favorite co-op games ever!

Both Portal Games
Dust: An Elysian Tail
The Banner Saga
Machinarium
Mirror's Edge
Cave Story+
Shantae series - First game
The Room series - First game
A Story About My Uncle
The Stanley Parable
Grow Home
Super Panda Adventures
Q.U.B.E.
Epistory - Typing Chronicles
Mini Ninjas

Go old school with the SEGA Mega Drive and Genesis Classics at 30 USD.
https://store.steampowered.com/app/34270/

My 6 and 8 year old both love victor vran
Slime rancher is another family favorite

But we started early. My son has been playing Minecraft and sky landers for years. My daughter started on simple iPad games

You can never go wrong with the Stanley Parable. Actually going to play with with a friend of mine today that never plays games :D

My daughter loves to play with me, and she is just 8 yo.

The best for her was Brothers: A Tale of Two Sons since she could play it duo with me and enjoy the coop teamwork
There is also Yonder: The Cloud Catcher Chronicles
Simpler but cool for kids Plants vs Zombies
also Slime Rancher
last but not least she loves LEGO games

any lego game should be good

EDIT: didn't read through all comments...

I'd say a good game per genre in a few genre. Like, a good racing game (one that's easy to control with a keyboard, ie not DiRT Rally, maybe a Need For Speed one?), a good platformer (is there a Rayman that's not too old maybe?), a good strategy game (maybe one of those remastered Age of Empires?), some kid-friendly management game (something like a modern version of Zoo Tycoon?)
I don't think you should focus too much on making them play the same games both. Maybe for the dad also a good FPS like Far Cry 3 (or 4 or 5), a good infiltration game like Hitman Absolution, an adventure/platformer game like Tomb Raider

About the Minecraft suggestion, that's really one horrible game to start with IMO. "Hey, here's a world full of blocks, just run around in this with no further instructions" It's not a "game" for gamers, it's a sandbox for artists / creative ppl.

Audiosurf is a bit of a special game, but very easy to get into, can play your on music in various difficulties and modes. At it's basic, it's music, simple controls and nice visuals, I think it's a really good entry-game to show what games are capable of :)

Hmm. The kid should be easy; plenty of decent recommendations here, so just show him a variety of age-appropriate games from different genres and see what he likes, I'd say. If you're thinking about including any games more than ten years old or so, you might want to start with them, though; some graphical styles from earlier periods have aged better than others.

The father might be a bit more difficult, especially as he's completely new to gaming. Bear in mind that what might come naturally to you and I could be completely incomprehensible to him; I tried to show my mom Portal and this otherwise perfectly intelligent woman who's had computers in her home and office for a good 25-30 years just could not mentally grasp the concept of first-person WSAD movement. So I'd say start with shorter games that use third person perspectives, and nothing that's too difficult. Or that requires fast reactions or general knowledge of genres - which is why I wouldn't suggest the Stanley Parable; I don't think someone without the appropriate background would appreciate it the same way. Oh, and no platformers, either. What sort of things does he like? My mom's pretty artistic and intellectually minded, so if I was trying again with her I'd probably go for something like Gorogoa.

In general, you could likely do worse than trying point and click adventures or puzzle games, especially if you minimise potential frustration by picking ones where you can't put yourself in an unwinnable state. I think someone suggested Machinarium earlier, which could work. Check out Train Valley, too.

Castle Crashers (a great Beat-em-Up for all ages)
Sonic & All-Stars Racing Transformed (a fantastic kart racing game that has a welcoming skill curve and plenty to offer)
Goat Simulator (a nonsensical, physics based good time)
Duck Game (a multiplayer focused arena styled platform game)
Oceanhorn: Monster of Uncharted Seas (a Zelda clone after my own heart)
Gurumin: a Monsterous Adventure (a very inviting and entertaining Action RPG)
Psychonauts (a very well written and staple 3D platformer that has humour for all ages)
Braid (a staple 2D platformer with enough platforming mecanichs to teach anyone to "DO THE MARIO")
Bastion (an isometric ARPG with delightful narration and a beautiful art style)
Stories: The Path of Destinies (a storybook ARPG that's incredibly forgiving and I personally could see playing a session before bed with my future spawn...)
Trove (an incredibly inviting, casual Free to Play MMORPG)
Terraria (a 2D RPG reminiscent of Minecraft)
Slime Rancher (a casual ranch simulator based around wrangling slimes)
Plants Vs. Zombies (an incredibly inviting 2D Tower Defense game)
Metal Slug/2/3/X (classic 2D side scrolling arcade shooters)
Spiral Knights (a casual focused MMORPG)
Battleblock Theatre (an amazing 2D platformer for all ages)
Brawlout (a Super Smash Bros. Melee clone after my own heart)
Hyper Light Drifter (an amazing 2D ARPG that quickly became one of my all time favourite games)
Awesomenauts (an inviting 2D, F2P Multiplayer Online Battle Arena game)
The Mighty Quest for Epic Loot (a casual F2P Dungeon Crawler that features user created dungeon making and playing)
Dungeon Defenders/2 (fairly inviting 3D multiplayer TD games)

I want to add more to this in the future but that's a good chunk for now of varying genre to poke at I think.

i would say Family Friendly Tag

and yes always go with LEGO games!!!