I'm going to assume you have the best chance at Aladdin - since it's a kiddy show the cast will most likely come out to sign.
I'm not sure if you are aware, but the Lyceum (where the Joneses is playing) is on 45th street while the stagedoor is on 46th street. You need to go around the block after the show to find the stagedoor. You should have no trouble though, the door will say Lyceum Theatre Stage Door and barricades will be set up. The whole cast was very kind, but I'm not sure if they come out after matinees.
From what I understand, Of Mice and Men is a madhouse. The cops have to standby to monitor the crowd.
Have a great time! I can't wait to hear what you think of these shows :)
"The city seen from the Queensboro Bridge is always the city seen for the first time, in its first wild promise of all the mystery and the beauty in the world." - F. Scott Fitzgerald, The Great Gatsby