Please name great games with infinite replay factor

Dragon Age Origins...maybe. i have replayed it so many times and it never got boring, atleast for me

Crusader Kings II, the only game you'll ever need.

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plague inc

Roguelite games will be the easiest answer, in my opinion.
You can check some great title like The Binding of Isaac, Nuclear Throne, & Dead Cells.
There's a ton of roguelite games other than 3 I mentioned above which offer you hundreds of exciting play hours, so you can check it out on your own.

FTL: Faster Than Light

If going for lots of time and replay rogue-likes are a good bet. I've really enjoyed going back through Risk of Rain multiple times. Dead Cells, Sundered, Binding of Isaac, etc.

Dota 2, Multiplayer
You’ll never get the same experience twice ever again. Infinite combination of hero selection and abilities interactions.

Strong picks:

• Crusader Kings II, 829h in, more to come in a few weeks. One playthrough can take as much as 200-300 hours, every game is different, you couldn't play as every nation and every setup in your whole life even if you wanted. If I was forced to be stuck for the rest of my life with just a single game, this would be the one.
• Rimworld, a lot of replay potential, mods, active community, on top of the base game itself being also a unique experience. For now I have "just" 86 hours in and one playthrough behind me, but I intend to have a lot more soon. The potential is huge.

Notable mentions:

• FTL: Faster Than Light. This game doesn't have as strong replay potential as titles above, but still offer infinity replay factor with procedurally generated playthroughs where there is always outcome that you didn't expect. 97h clocked for me.
• Mount & Blade: Warband. Still no bannerlord, but also infinite replay factor with all the mods, settings and stuff to do, the game itself is even prepared for that with an option to export and load a character across different playthroughs. Old, but gold, 48h in + at least 100h of untracked ones before I got it on Steam.
• Darkest Dungeon, not necessarily my taste but 55h clocked and I must agree that there is also a huge potential in this one, I plan to return eventually.

Not necessarily infinite, but:

• Witcher 3, I put 304h into it right now, two complete playthroughs and I know that I will make a 3rd one eventually. This one doesn't have infinite replay factor, but there is enough of stuff that will take you a lot of time, two playthroughs at the minimum, and I still didn't discover all the potential paths.
• Fallout: New Vegas. 258h in, two complete playthroughs, really enough of content to not bore you for a while and there are so many branches and other stuff you can do differently that you can easily make it 3.

I must mention despite of hating myself for doing that:

• Skyrim and other Bethesda games that live only because of modding potential, I'd rather play solitaire than this, but I heard some people like it.

I have rather specific taste, if you want something more simple, you have some suggestions above (e.g. binding of isaac), I'd definitely get bored playing simple rougelites - being procedural doesn't mean it has infinite replay potential or that the game won't bore you before you even manage to finish it. I liked DD though, so maybe I just didn't play any good ones apart from that one.

Civ! Not sure which one is best but I've played Civ II and Civ V, both great games. I hear IV is better though.

You may find them boring from the start though, depends what kind of games you like :)

I love the Dungeons games. I played endless hours on Dungeons 2. I have Dungeons 3 via Humble, yet to play it though.

Civilization is a good one too. I've played "Civ IV Beyond the Sword" a lot as single player.

Most good RTS games have infinite replay value.

Darkest Dungeon (roguelike), Mass Effect Original Trilogy (shooter-rpg), Dungeon of the Endless (roguelike), Age of Empires II (civ growth and war strategy), Enter the Gungeon (roguelike), Offworld Trading Company (see AoE2), [squints at steam} ....uhhhhhh Audiosurf (arcade music thing)?

think a proper answer to this question really needs to take in your specific taste in games to see what applies. even the most generous of procedural generation and best designed AI can be super boring if that's not what you're into.

Space rangers is rather infinite

Terraria has a lot of replay value. Over seven years after its release it's still getting patched with new content by the indie developers. I have a lot of respect for devs like that who have a passion for their games and listen to the community.

Football manager, but it will consume all your time if you don't stop :P Good to see many say CK is so good as i already had in plan to play it quite soon. I played Victoria games and they were very good too.

I think Kingdom game series is might what you ask for.(Kingdom Classic, Kingdom New Lands, Kingdom Two Crowns)

If you like racing games then this Trackmania United Forever

One of my favourite racing games of all time, infinite replay value due to thousands of player-created tracks.

Warframe, by far. You grind without the eternal feeling that you are grinding.
The game is so big and the possibilities are so many that you'll take years to explore it all.
Also, constantly updates, new weapons, new characters, etc with the randomly generated maps, the game is ALWAYS fresh.

Infinite is a pretty lofty ambition. I think by that point what you're asking for would be exclusively limited to a game development software or a creation sandbox (including the RPG framework that is Bethesda games, but also more open-genre sandboxes like Minecraft and LittleBigPlanet).

Earth Defense Force 4.1 and hopefully 5

I find sports games (NBA Playgrounds 2, Super Mega Baseball 2, Madden 19, any recent FIFA game, etc) to have tons of replay value.

If you combine pre-Steam and Steam time, I've probably got 1000 hours in Euro Truck Simulator 2. (American Truck Simulator isn't quite as replayable because there's only a few states so far, but it should get there someday).

Modded Skyrim and The Long Dark have both hooked me for 900+ hours.

I think Parkitect has a chance to be in that same tier, since it's basically an upgraded version of the first two Roller Coaster Tycoon games and I absolutely put hundreds of hours into that franchise.

Pinball FX2 and Pinball FX3 have a lot of replay value because of the variety of tables.

Your mileage may vary depending on your taste in games, of course.

Diablo 2... Pick your poison with classic; LoD expansion; modded Eastern Sun mod is really good, IMO.

Don't Starve and Don't Starve Together (both also have a workshop full of free mods)
Oxygen not included
The original zoo tycoon and zoo tycoon 2 with all of its
Apparently Skyrim (although I haven't tried it)
Plague Inc Evolved
Wolf Quest
RimWorld
Most of the Civ games
City Skylines and various other city builders
SIMs franchise games
Stardew Valley is good for a solid 2-3 playthroughs

Baldurs Gate. Best Old School RPG. Epic story, many playable races, classes, difficult options.

Dota 2 / Overwatch. MP games.

But for SP game I can definitely mention Romance of the Three Kingdoms. That's why I'm looking at new Total War: Three Kingdoms intently.

Football Manager
Book of Demons
Don't Starve
All the Total War have infinite loads, so... ( ͡° ͜ʖ ͡°)
Fighters, tycoons, city builders...