your work should stand for itself, if it doesnt no amount of distractions will change this.
What could anyone possibly say in a cover letter that will set them apart?
"Hi, I am bob, I love making games and people who make them, I need a job to pay my rent. I found out that you guys need somebody to do what I can do, so please hire me because I love all the games you guys make."
However, somebody out there will think this is original and will possibly give you an interview because of it, but, do these people really know what to look for in hiring or are they just frustrated at the lack of creativity in their job?