Some anime game to suggest?

Steins;Gate
NieR:Automata™
Danganronpa
Higurashi
Tales of Symphonia
Fairy Fencer F

100% Orange Juice.
Muhahah.

Tell her you won't play one till she actually suggests one

My ex GF suggested bible black!

Don't look it up :P

As suggested already, the 'Tales of' games are great :3

Bump

Not really into those, so have a bump
Although I did play the Naruto games (albeit on PS3), but those are nice, expecially the multiplayer

If Zero Escape: The Nonary Games doesn't make you enjoy an anime game, nothing will. You said you don't like love stories, and there's a scene where it kind of looks like it might be one at the start, but I promise you that it's not a love story. It's one of my ten favorite video games of all time, and I'm not big on the anime or love stories myself.

my sister it's Insisting me to give to the anime games the oportunity

Why not asking her?

Bump

Saya no uta.

Tales of series
Legend of Heroes series
Ys Series

Agarest generation of war

One Way Heroics is in my opinion the best anime game on steam.

I dont know what are you lloking for in this genere but its mixed whit a lot of other generes.

TOP:
-Full strategy: Valkyria Chronicles
-Classic rpg/item shop: Recettear <--give a try! rly!!!
-RPG/VN whit toons of comedy: Neptunia series this series has very good discounts
-Pure VN: and F2p narcissu <---dont worry isnt about love, too much drama instead. T_T
-pure VN: If my heart have wings <---awesome, steam has the censored version, but still pretty good. <--have romance, yes, but the dreams to fly in a glider, so well... could be fun for you in some way.

-Fanservice VN: nekopara series <--best seller, but not really good compared to others, good art by Saori <3
-strategic turn: War of the Human Tanks <--personal recomendation by just less than 1€ in sales/bundles.

FULL (good) W33B stuff:

Clannad
Clannad side stories
*Tomoyo after
-Little buster (full) coming soon to steam
All this 4 romance/drama. again I dont really think suit for you, but just FYI

-Dangaropa
-Persona # (consoles only)

*VN= visual novel

But please, dont look for any shitty sakura game for your sake. It's like looking for Boku no piko in google.

PD: coming soon 1st to ps4 and later steam

Well, if you like SRPGs and collecting creatures, I've been really enjoying Moékuri. 'Tales of' series is a really fun, as a lot of people have mentioned. Monster Monpiece is a lane-based strategy/collecting game with cute monster girls and fan service, and Moero Chronicles is a similar thing, but a dungeon crawler and it's coming next week. :3

Um, there's a lot of others that I really love, but plenty of them have been mentioned already and yeah. I actually haven't played all that many VNs since I'm kind of the opposite as you, I get really overwhelmed by cute/romantic VNs and stuff.

Evitá cualquier juego con fanservice excesivo.
Lo mejor sería que te adentres en este género con un juego ARPG, RPG por turnos o una VN con temática seinen (en caso de que te guste leer).
Ya te recomendaron buenos juegos, no tengo nada mas que agregar.

Bump!

I would say The Legend of Heroes series if you don't mind the "old" graphics.
It has one of the best JRPG stories I've ever read

http://store.steampowered.com/app/251150/The_Legend_of_Heroes_Trails_in_the_Sky/

There's also psp version in case if you interested

Too Much love in this one ( ͡° ͜ʖ ͡°)
100% OJ

My favourite ༼つ ◕‿◕ ༽つ

Well it depends on what you like really, so I'll just pick some out at random
Faraway story
Not a steam game, but it is free, the person who translated it also has a few other classic rpg games on their site. This game isn't completed as of yet, but the first part is finished, but the second is going to a be a while

• Danganronpa
  "Investigate murders, search for clues and talk to your classmates to prepare for trial. There, you'll engage in deadly wordplay, going back and forth with suspects. Dissect their statements and fire their words back at them to expose their lies! There's only one way to survive—pull the trigger."
• Nier Automata (personally haven't played, but it looks really good, and a friend of mine recommends it to everyone)
  "NieR: Automata tells the story of androids 2B, 9S and A2 and their battle to reclaim the machine-driven dystopia overrun by powerful machines."
• Momodera series (difficult but hella fun)
  "Momodora: Reverie Under The Moonlight is the fourth installment in the beloved Momodora series of 2D platformers. Unleash ravaging combos against a variety of formidable monsters and deftly dodge your way through a cursed land to seek audience with the Queen and dispel the evil that threatens all life."
• ACE Academy (A dating sim, but the art is amazing and the story is great)
  "ACE Academy is a slice-of-life, story-centric comedy game with elements of dating-sim; fully voiced and extensively interactive!"
• LiEAT
  "Welcome to a world in which dragons are born from the desires of mankind. Each dragon is bestowed with unique powers in accordance with the specific desires of their human familiar. One mysterious stranger travels the land, accompanied by a young dragon graced with the power of seeing and eating [lies]"
• The Legend of Heroes: Trails in the Sky (a bit grindy for some people, but still a lot of fun)
  "Hailed as one of the largest, longest and most meticulously detailed turn-based JRPG series of all time, this first chapter in the ongoing Trails saga sets the stage for what's quickly become Ys developer Nihon Falcom's most popular and best-selling franchise in their entire 30+ year history."
• [http://store.steampowered.com/app/209370/Analogue_A_Hate_Story/](Analogue: A Hate Story)
  "A dark visual mystery novel featuring transhumanism, traditional marriage, loneliness, and cosplay. Two pursuable characters. Five endings. Welcome to the future."
• Season of 12 Colours (personally haven't played it, but it's very short and has good reviews)
  "--The way it was, Just like it is now, On a bright, bright summer day. "That's a promise, right?" The girl in a white dress said. Sunny sky. A paper plane slid across it, riding on blue winds."
• Senran Kagurai Shinobi Versus
  "The non-PC buxom shinobi of SENRAN KAGURA, the brawler series that’s as over-the-top with its fighting mechanics as it is with its gratuitous depictions of female ninja in various forms of undress, invade the PC realm for the first time in HD and 60fps glory."
• YS Origin
  "The perfect mix of action, exploration and story with screen-filling bosses, unique platforming elements, and innovative puzzles."
• Shantae: Half-Genie Hero
  "Shantae embarks on her first full HD adventure! When a mysterious crime wave sweeps Sequin Land, it’s up to Half-Genie Hero Shantae to save the day! Use Shantae’s devastating Hair-Whip Attack to send monsters flying, or Belly Dance to transform her into more powerful forms!"
• G-senjou no Maou - The Devil on G-String
  "You play as Azai Kyousuke, the son of an infamous gangster. Kyousuke knows what he likes and lets nothing stand in his way in getting what he wants. Referred to as God by his classmates, he often enjoys listening to Bach and "working" part time for his stepfather."
• Forward to the Sky
  "Reveal the story of the sky tower! Forward to the Sky is a third person action adventure game in the sky tower ruin. You are going to collect all the crystal pieces to connect the story and everything will be revealed once Princess reaches the top level."
• Atelier Sophie: The Alchemist of the Mysterious Book
  "17th in the Atelier series. The budding alchemist Sophie of Kirchen Bell meets the Mysterious Book, Plachta, and embarks on a wonderful adventure of fulfilling dreams."
• Corpse Party
  "A group of friends unknowingly perform an occult ritual that traps them in an otherworldly elementary school. Here, the vengeful spirits of young children threaten their lives and their sanity, and the only hope of survival is to uncover the chilling details behind the murders of those trapped before them..."

Hope there's something in this that interests you!

If you have a PS4 as well as a pc, I would recommend Persona 5. Probably my favorite game of this year.
As for PC, basically everything everyone listed. Trails of Cold Steel is also great and slightly similar to Persona.
Hope you find something you enjoy!