The show at DCA is a musical, on the scale of a Broadway show, but a bit smaller. It's fantastic!
The one at DL is very cute if you have little kids. Aladdin, Jasmine, and a narrator tell the story of Aladdin, and they pull kids out of the audience to participate. At the end of the show, everyone can line up to take pictures with Aladdin and Jasmine.
Both are fun, but if you don't have little ones, you might want to skip the one at DL, unless you're looking for an excuse to sit and relax for half an hour.