Ok, this is really nerdy but... I was wondering how a fight between Jamie Lannister and Jon Snow would go and found this on google:
Even better!
Jamie Lannister vs
Rand Al'Thor from the Wheel of Time series!
Cage Match 2010, Championship: 5) Rand Al’Thor versus 15) Jaime Lannister « Suvudu - Science Fiction and Fantasy Books, Movies, Comics, and Games
Yeah, its nerdy fanfic. But its well written in the style of both their source materials. If you're familiar with both series', this is a really fun read.