Me, I like pretty much every kind of video game except for sports and most racing games (I do like Mario Kart). For other kinds of games, I like pretty much everything. Board games, card games, tabletop RPGs, everything. I can't really afford miniatures games, though.
Some of my favorite video game series are Kirby, Sonic (I miss the old days), Fire Emblem, Command & Conquer (Red Alert especially), No More Heroes, _____ vs. Capcom (and Capcom vs. SNK), Pokemon, Super Robot Wars, Bioshock, Assassin's Creed, and Ace Attorney.
Some of my favorite traditional games are Yu-Gi-Oh, Magi Nation Duel, Arkham Horror, 7th Sea, Mutant City Blues, Munchkin, Maid RPG, Toon, and RIFTS.