My childhood consisted of classic console games like Super Mario, Pokemon, Legend of Zelda, Final Fantasy, Kingdom Hearts
Some online games (MMOs, MOBAs, etc.) I've played over the years include Runescape, Minecraft, Maplestory, Trickster, Aion, League of Legends.
Once I got a good computer I played the big titles like Far Cry 3, Mass Effect, Dragon Age, The Witcher, Elder Scrolls: Skyrim, Battlefield, Tombraider.
Oh and of course now I'm into visual novels
If I had to pick a favorite genre though I'd probably choose Skyrim. There's just so much you can do in an open world RPG.