For platformers, Ty, Rayman, and Pacman World are all good. There's also a Crash/Spyro pack out there, and they were good on the PS1.
Not to mention they've probably licensed her favorite show and given it a game.
The Mario off-shoots (tennis, golf, kart, party) are typically released in portable form, besides on the console. The exception would be Baseball and the upcomming Strikers.