Resistance (besides Handheld)
Halo
Age of Empires (and Mythology)
Twisted metal (besides handheld)
Digimon World (and Card battle, Rumble Arena)
Super Smash Bros
Kessen
Disgaea
Many series I have since quit due to my opinion of them changing like Gears of War, Fable, C&C, Spyro (after PS1), Stronghold.
Many series I could not play due to being too old and hard to find like Civ, Warcraft, Diablo, Zelda, Donkey Kong.