John Wayne and Victor McLaglen in The Quiet Man. Also John Wayne and Lee Marvin and some sailors in Donovan’s Reef. And of course, John Wayne and Robert Duvall et al in True Grit.
Let’s not forget the ridiculous fight in They Live!
Aye; that’s an excellent fight scene.
Love the forest fight in Transformers: Revenge of the Fallen.
oopsie! I didn’t have my sunglasses on.
James Bond vs Red Grant in From Russia with Love:
Bond vs Oddjob in Goldfinger:
The Three Heroes from Kung Fu Hustle
Long as your mentioning that one, the gypsy girl fight should be included.
Jason Borne vs Desh, starting about 1:15.
Bruce Lee fight in the underground chamber in Enter The Dragon.
Pretty much all of John Wick.
Another good one is Landfill Vs. The Nurse in Beerfest. 
Terry-Thomas and Milton Berle in Mad World.
*
“Foul! Foul!”*
Jason Bourne’s penis mightier:
I don’t believe that the OP specified weapons.
Let’s not forget Bond v Peter Franks in Diamonds are Forever.
The best sword fight - Rob Roy.
How about TV? Deadwood.
*The Karate Kid.
Kill Bill.*
I guess we could fill up the whole thread with Jackie Chan fights. One of my personal faves is the mall fight from Police Story (1985).