Oh Man, I could go on forever and keep naming. Given the fact that I should be into the "newer" Generation games because of my young age. I much rather prefer the 80's & 90's game era games. my favorites include:
Sonic the Hedgehog 1,2 & 3 - Beat all three of them, still have each on emulator
Super Mario Bros. - THe Original NES one.
Kingdom Hearts 1 - Loved this game
Street Fighter 2 - So many memories!
Pokemon Red-Crystal - The oldies were infact the best
The Legend of Zelda- A Link to the Past
and Dragon Ball Z series - Mostly on the SNES.
Mario Kart 64 - A Family favorite!