Game genres?
Action/Adventure, Platformers, RPGs, Shmups, Run and gun, First-person shooter (old school only), Beat 'em up, Hack and slash, Strategy, Puzzle, and sometimes Fighting
Games: Pokémon (obviously), Metal Slug 3, Mega Man / Mega Man X series, Final Fantasy IX, Drakengard, Shadow of the Colossus, Kingdom Hearts, TMNT: Turtles in Time, Command & Conquer, Super Mario Bros. 3, Legend of Zelda series, and while lot more.