I have a bias on this one. Annie, personally, annoys the living hell out of me- but that could just be because I was in the show and I've seen the show done very very horribly. (One example: Annie was taller than Daddy Warbucks and it looked like they were getting married in "I Don't Need Anything But You".)
Movin' Out- Have you heard the soundtrack? It's amazing. If your friend is a Billy Joel fan, that would help! Keep in mind that the choreography is the holding point of this musical, so if you dont like a lot of dancing this one isn't for you.
Both of these are odd to chose from- they have no relevance to each other. If you have more choices, see Avenue Q or Wicked. I'm seeing Avenue Q tomorrow with a Broadway virgin! I say go with Movin' Out.
"They hear drums. We hear music."