You are taking the heart out of my wife. She loves Star Trek, and anything Captain Kirk does is OK by her.
Interesting topic though.
Are you talking fist fighting, sword fighting, anything goes fighting??
I've seen a lot of movies and most of the fights I've enjoyed. I don't think I have a particular favorite but some of my faves are
In the Bourne Ultimatum, Jason and the bad guy really go at it for almost 5 minutes
In From Russia with Love, Connery and Robert Shaw on the train, great fight scene
Gosh, any fight with Bruce Lee in it. Against Chuck Norris, against Jabar, and in Enter the Dragon, the scene at the end with all those mirrors, great
Some of the Rocky fights were great, particularly the one against the Russian
The fight in Raiders of the Lost Ark with Harrison Ford and that huge German by the single wing plane
And for special effects, in the original Matrix, the fight between Neo and Agent Smith was just super
And the fight in Aliens between Ripley and the Alien Queen was just outstanding
If we are talking swords, Errol Flynn and Basil Rathbone in The Adventures of Robin Hood
Luke Skywalker and Darth Vader in whichever of the movies they fought in
And just for pure fun and excitement (and fake blood) the fight between 'The Bride' Una Thurman and the Crazy 88's and O-Ren Ishii in Kill Bill I
How about in Jason and the Argonauts, the fight against all those Skeletons
As for Epic
Lord of the Rings, Return of the King
As for the worst, any of those old Chinese Kung Fu movies that tried to capitalize on the Bruce Lee scene. Some of the worst fights I have ever seen.