Should Actors Fall in Love?

This is an unusual idea you have here.

Auditions are so trying.
A young actor catches my eye.
They can lead to so much crying.
Beautiful, as you walk by.

We danced so in time,
Sweltered under lights of blue.
We had so much fun in this pantomime.
Now all I have is a memory of you.

This was a very sweet poem I think. I feel as though the two other reviewers above me have beat me to the punch when it comes to critiques for room for improvement. But I will point out this little flaw:

We danced so in time,

Hello there i am here for the review.

Well, you have a good piece here but your poem was a bit on the predictable side. Some of the rhymes were totally forced and that is not good for a poem because it ruptures the flow of the poem and gives a negative thought of the poem to the reader so you should try working on it.
I shall give you some nitpicks but it is totally inappropriate because the previous reviewer was Kafka and he never ever leaves anything for the others. xD

They can lead to so much crying.
Beautiful, as you walk by.

A surprising, bittersweet truth.
I’ll be missing you my friend,
My love for you wasting my youth.

I’ll wait until the next season.

Auditions are so trying. Don't think "trying" is quite the right word here.
A young actor catches my eye
They can lead to so much crying. Okay, I really am not a huge fan of the back and forth between two different concepts thing you've got going on here. Neither am I a huge fan of this line by itself.
Beautiful, as you walk by.

We were cast as lovers,
If only to ensemble. "Ensemble" is a noun, and you're using it as a verb.
You distracted me from my others. Your others? Others of what?
Never had I seen a boy so amiable. "Ensemble" and "amiable" don't rhyme.

Productions always come to an end, Reword, possibly?
A surprising, bittersweet truth. "Surprising?" No, I wouldn't call it that.
I’ll be missing you my friend, Comma between "you" and "my." And "my friend" is much too formal for what you are apparently feeling for him. "My love" would be more appropriate, even though it doesn't rhyme.
My love for you wasting my youth. I would think it would extend it. And this is the first time you've viewed it as a negative thing, so it doesn't really fit in that respect, either.

The songs have been sung.
Pack up my character shoes. "Character shoes?" Not sure what to picture there. Description, description.
Hang my costume on its rung.
All I’ll have left is a memory of you. "All" and "I'll" are too similarly pronounced, and it sounds odd.

We danced so in time, "So in time" could be restated to sound better.
Sweltered under lights of blue. Don't know if "sweltered" really fits.
We had so much fun in this pantomime.
Now all I have is a memory of you.

I’ll wait until the next season.
Lock away the scripts, throw away the key.
Dear boy, my sadness has a reason, Well, duh, I've gathered that by now.
After all this you’ll have no memory of me. How do you know? You'd think he would since you apparently danced with him and everything.