I don't think SPAMALOT will do "You Won't Succeed on Broadway" - it's one of the funniest parts of the show, and it would totally give it away. I bet they'll do "Knights of the Round Table" mixed with "Always Look on the Bright Side," or maybe "I'm Not Yet Dead" mixed with "Bright Side" - or just the latter. They're not going to give anything really funny away.
LA CAGE better not perform anything that Gary Beach does solo OR "The Best of Times" - that would just be embarrasing. I'm hoping they'll do the opening number - show off those boys as much as possible.
SWEET CHARITY better not do "The Rhythm of Life" - that would be embarrasing. And they should stay away from "Brass Band" as well. If they want to look good, they should do a snippet of "Rich Man's Frug" then seque into something showcasing Applegate...but not TOO much, her voice is too tiny for RCMH...so possibly "There's Gotta be Something Better than This."
DRS won't do "Great Big Stuff" - it's too funny to not save until the actual show, they won't give it away. I'm sure they'll do "Dirty Rotten Number" or something featuring the ensemble briefly.
"If you are going to do something, do it well. And leave something witchy."
-Charlie Manson