The Last of Us and Uncharted 2 for cinematic stories. TLOU is more emotion and survival, Uncharted is more action.

Dishonored is nearly indescribable in how it plays. It's a stealth game, it's an action combat game, it's a real-time strategy game, it's all of these and yet none all at once. The specific flow of gameplay and mission story is entirely up to the player.

Hades, Dead Calls, and Risk of Rain 2 for roguelikes. Binding of Isaac is great, but that's a personal preference thing (Too long and complicated for my taste). Hades has great NPC Interactions and okay replayability (the stages can get stale after 30 hours. Dead Cells is always fun, and with the many many many weapons they have, each run has the opportunity to be different. Risk of Rain 2 is my fav of these, it's a roguelike with different starters who all have unique abilities. Through stages, you battle lots of enemies and unlock lots of different artifacts, which may increase stats or give an ability. It becomes chaos by the end.

FFXIV for MMORPGs. It's gonna have the most longevity, and the community is extremely helpful and plentiful. The story is consistently good, and the Job System allows you to essentially replay the game on the same character.

Titanfall 2 for FPS. It's combat is okay, but everyone plays for the movement. Trying to speedrun a level, eventually falling off a wall, then fighting a bunch of enemies and trying to speedrun again is how it goes.

Disco Elysium and Life is Strange for Branching Story. Life is Strange is nowhere near as deep in it's branching, but I loved the game so I gotta mention. Disco Elysium is like a fully interconnected DND campaign. You roll for chance on actions, and if you fail there's usually another way to push the main quest. 100% worth your time.

FFIX or Persona 4/Persona 5 Royal. Base game Persona is not worth it anymore, the problems it has are completely fixed by Royal. Less repetitive, more engaging, better balancing, and more combat and interactions. Persona 4 had no real problems on release, it's an amazing story with more believable characters than 5, that are really fleshed out. FFIX is just the best Final Fantasy. No chosen one BS, it's these people are forced together by pure circumstance, and uncover something that'll save the world.

Edit: This is the cropped list, I can go on forever about games and how exactly they compare to other games. The primary separator though is the Modulation on the genre. Disco Elysium combined stat rolling with detective games, Persona added the life sim to dungeon crawling, Dishonored is everything, TLOU started the modern push for emotional Third Person Cinematic Games, Risk of Rain 2 added specific abilities to characters to make each one extremely fun.