The West Virginia Flash Animation Festival is coming. Google that if you want to see the crummy entries from last year. I had considered entering, the problem is they want "original music" or music to which I can get permission from the copyright holder. Well... I don't have that, but I did notice that one of the winners from last year used a friggin' Monkee's song--besides the fact that the piece was not terribly strong in my opinion.
So, yes, it would be possible for me to clean up in Flash festivals, but I suspect they will all be looking for music that I own or can get permission to use.