I don't think that either "La Cage Aux Folles" or "A New Brain" exactly fit into your category.
No one in "La Cage" "comes out" in the course of the show. Georges and Albin are both out gay men. I'd say that the problems come when they try to act straight.
And, I can't be one hundred percent sure about "A New Brain," having only listened to the album and never having read the script, but I don't think anyone "comes out" in that show either. I'm assuming that you don't know that the main character is gay until his boyfriend comes to visit him in the hospital.
"A coherent existance after so many years of muddle" - Desiree' Armfelt, A Little Night Music
"Life keeps happening everyday, Say Yes" - 70, Girls, 70
"Life is what you do while you're waiting to die" - Zorba