I've seen plenty of serious animes made fun of on stage. That may be the key element that makes you skit funny! Go with your instincts! If you're not comfortable in doing something, then don't do it. I know for a first timer at building a skit, it's strange (been there, believe me). I'm sure you'll figure it out! ^_^ Take the plunge, go for it!! Don't be afraid!! *raises arms in cheer* BANZAI! BANZAI! BANZAI!
"Why is a raven like a writing desk?" -Mad Hatter
Wait..... why IS a raven like a writing desk....