Warcraft, League of Legends, most online games actually. Most mobile games. Gachas. Most FPS games, racing games, all sports games, simulations, visual novels, Telltale games. Games on PC or other systems I never owned.

Post-NES Megaman. Post-PS1 Twisted Metal.
Fortnite, Borderlands (I almost tried it, but got bored at the opening sequence), Elder Scrolls, Panzer Dragoon Saga, Dragon Quest (except VIII which I bought for the FFXII demo), Drakengard, Dragon Age, BioShock, Portal, Guilty Gear and Blazblue (most fighting games outside of Mortal Kombat), "Tales of" since the first one, most-GTA clones, most-sandbox games, Halo, RDR, Mii games, dance games (esp DDR... neither my fingers nor my feet are fast enough for this genre). Most NIS, Animal Crossing, Monster Hunter, games like Monster Rancher...

A shorter list as to my likes: basically customizable games and RPGs.