The DS isn't capable of playing the Broken Sword games or Full Throttle using ScummDS. Not enough memory. There is of course the option of playing the GBA release of Broken Sword however.
The following games are supported (as stated at
http://scummvm.drunkencoders.com):
Manic Mansion Fully working
Zak McKracken and the Alien Mindbenders Fully working
Indiana Jones and the Last Crusade Fully working
Loom Fully working
Passport to Adventure Fully working
The Secret of Monkey Island Fully working
Monkey Island 2: LeChuck's Revenge Fully working
Indiana Jones and the Fate of Atlantis Fully working
Day of the Tentacle Fully working
Sam & Max Hit the Road Fully working
Major slowdown in a few scenes when MP3 audio is enabled
Beneath a Steel Sky Fully working
Flight of the Amazon Queen Fully working
Gobliiins Fully working
Simon the Sorcerer 1 Fully working
Zoomed view does not follow the speaking character
Simon the Sorcerer 2 Fully working
Zoomed view does not follow the speaking character
The Legend of Kyrandia Fully working
Zoomed view does not follow the speaking character