im a sony fan, but not a handheld fan

[Galaki]

Too lazy to list, so, I'll just grab some list off IGN. Scores above 7.0 are worth checking out. Mostly due to the taste of the players/reviewers. 

Action Games 

http://ds.ign.com/index/reviews.html?constraint.game_genre_name.game_genre_1.game_genre_2=Action%3A&constraint.return_all=is_true 

Action Adventure

http://ds.ign.com/index/reviews.html?constraint.game_genre_name.game_genre_1.game_genre_2=Action%3AAdventure&constraint.return_all=is_true

Action Compilation

http://ds.ign.com/index/reviews.html?constraint.game_genre_name.game_genre_1.game_genre_2=Action%3ACompilation&constraint.return_all=is_true

Action RPG

http://ds.ign.com/index/reviews.html?constraint.game_genre_name.game_genre_1.game_genre_2=Action%3ARPG&constraint.return_all=is_true

Change the Gene menu to what you like and pick out the games that might interest you. The reviews are worth a read. Then ask for specific interest and I am sure some of us here will fill you in with more details.