Snow White is no longer in production. That is now the site of the Princess Fantasy Faire. The only stage show is over at California with a not-to-be-missed Aladdin. They also have a show for little kids with characters from Jo-Jo's circus and other little kids shows on Disney Channel.
Don't forget about Billy Hill and the Hilbillies performing daily at the Golden Horseshoe Saloon. Also, there is a smaller show of Aladdin and Jasmine's Storytime Adventures in DL. There is a small stage show in DCA called "Drawn to the Animation" which features 3 characters (not always the same). It's in the Hollywood Backlot across from the Monsters Inc. ride.
There has been no info suggesting a Nemo show will come to DLR. I assume you mean the Nemo show currently at AK, and if so, it doesn't seem to me that DLR and WDW copy each other's shows.