So I assume you got an emulation handheld not a DS unit. Additional question there is does it have a good screen that can still present both screens of a DS or do the games need to also display minimal to no information on one of the screens? I say one because "Main" Screen on DS is dictated by game developers and sometimes is the lower one instead of upper one. Some games use both at the same time for he main action. Some majority uses one as main "Normal" screen and other subscreen is used for still crucial info,
It seriously is hard to go by that. DS games by larger category are "Normal controlling games with slight touchscreen controls" like minigames, drawing a sigil or some such. Now if the requirement is zero touchscreen controls, it becomes slightly challenging to name stuff. Entirely touchscreen games is a category, but surprisingly likely 10-30% of the library with my extremely loosey estimation. If I'd look at few pages of repo games sorted by popularity, and sticking to games I know.
Pokemon games: Can be optionally controlled a lot with touchscreen, menuing is easier but can be entirely played without touching. IIRC DiamondPearlPlatinum has a touchscreen minigame or few though. Might be same for BW since they are pokemon games I been not into.
New Super Mario Bros: It is super mario. Unlike 64 it does not even have touchscreen heavy minigames, though it might have had one. Main touchscreen use is to invoke stored item drop by touching it in upper right corner of the screen (Made to be touched by thumb)
Final Fantasy games: Aside some side content playable without touchscreen. Drawing a face for the added gremlin summon in FF IV etc.
Chrono Trigger DS: It is chrono trigger, on DS. Might be easier to emulate the non DS version though.
Mario Kart DS: Mario karts fine without touchscreen. If you do not have the subscreen no map for you but stops no mario karter from getting karted.
