I like fighting games. Street Fighter II and on involves strategy against more skilled players or computer levels, same with KoF series.
I also like console RPGs, but I CANNOT STAND RANDOM BATTLES. I don't like a ton of fights in console RPGs, it takes my mind off the story too much. I also like when the games incorporate battles which are nothing but strategy and have a point to them, like a special weapon or item from winning the fight.
Anyways, on to what I DON'T like. From the 16-bit era on, I don't like most of the SPORTS games. I make exceptions for some wrestling games, Ken Griffey Jr. Baseball, NHL 98 on PS1, NBA JAM and skating/snowboarding games. Basically, I like the more cartoony or arcade-style sports games. Wii Sports is endless fun to me, too. But THOSE DAMN MADDEN GAMES. ARRRRRRRRRGH END IT! It's as bad as real football! I think if you're gonna play a sports game, just go out and PLAY THE SPORT OUTSIDE WTF!!??
I'm not big on most strategy games unless its WarCraft, Starcraft, C&C, Advance Wars or a very few select others. It's too slow-paced for me. I don't really like to think things ahead that much, either.
Wierd games, like Zoop and The Ooze. Uhhhhhhh.. just no. Why make games like that? I always hated wasting my one weekly allowed rental from my parents on a piece of CHUD game like those! I remember taking Zoop back with my best friend and demanding a new game because we hated it so much! Zoop!? More like POOP!
It sounds bad, rude, and spiteful, but in the PS1 era, if we hated a game, we would just throw it across the room or bite it! Then we'd return it to the store saying it wouldn't play and we wanted a new game! Immature, I know, but it happens when you get 13 yr old boys together, hyped up on candy, pizza and a shitty video game. Trust me when I say we never did it to any games that DIDN'T deserve it!! It's not like we ripped some poor kid off, we probably saved him or his mom $5!