Zulithe
Explorer
Oh boy ... I'll jump in though all the major stuff has already been mentioned multiple times. 
Dramatic:
Anything from Star Wars, esp. the original trilogy saber battles and Obi Wan & Qui Gon vs. Darth Maul in Ep I. Yoda vs. Dooku, while I think it was about as good as it possibly could have been done (all considered) and I don't think it was comical, I still don't feel it carries the emotional weight the other fights did which is where it suffers.
The Matrix films ... any fight which takes place within the Matrix itself. +5 coolness points of Morpheus uses his katana
Brotherhood of the Wolf, esp. the beginning sequence & the final confrontation (that whip-sword was pretty neat)
Spidey vs. Doc Ock
Coolness factor alone:
Bruce Campbell playing ANYONE fighting ANYTHING.
+5 coolness points if it involves a chainsaw
I could go on and on :/ I get too wrapped up in these queries so I'll just end here

Dramatic:
Anything from Star Wars, esp. the original trilogy saber battles and Obi Wan & Qui Gon vs. Darth Maul in Ep I. Yoda vs. Dooku, while I think it was about as good as it possibly could have been done (all considered) and I don't think it was comical, I still don't feel it carries the emotional weight the other fights did which is where it suffers.
The Matrix films ... any fight which takes place within the Matrix itself. +5 coolness points of Morpheus uses his katana
Brotherhood of the Wolf, esp. the beginning sequence & the final confrontation (that whip-sword was pretty neat)
Spidey vs. Doc Ock
Coolness factor alone:
Bruce Campbell playing ANYONE fighting ANYTHING.

I could go on and on :/ I get too wrapped up in these queries so I'll just end here
