Here is a work in progress list of Martial Arts Movies (note that many of these movies have different names in other countries, I have chosen the most common US names for the movies). I have highlighted the ones that I have seen already.
Above the Law (Steven Seagal)
Battle Creek Brawl (Jackie Chan)
Big Trouble in Little China (Kurt Russell)
(The) Black Mask (Jet Li)
Bloodsport (Jean-Claude Van Damme)
(The) Chinese Connection (Bruce Lee)
Cradle 2 the Grave (Jet Li)
(The) Enforcer (Jet Li)
Enter the Dragon (Bruce Lee)
Firewalker (Chuck Norris)
First Strike (Jackie Chan)
Fist of Legend (Jet Li)
Fists of Fury (Bruce Lee)
(The) Forbidden Kingdom (Jackie Chan, Jet Li)
Game of Death (Bruce Lee)
Good Guys Wear Black (Chuck Norris)
Gorgeous (Jackie Chan)
Hard Target (Jean-Claude Van Damme)
Hard to Kill (Steven Seagal)
(The) Karate Kid
(The) Karate Kid 2
(The) Karate Kid 3
Kung Fu (David Carradine)
Kiss of the Dragon (Jet Li)
(The) Legend of the Drunken Master (Jackie Chan)
Lethal Weapon 4 (Jet Li)
Lone Wolf McQuade (Chuck Norris)
Meltdown (Jet Li)
Mortal Kombat
Mortal Kombat: Annihalation
(The) Mummy: Tomb of the Dragon Emperor (Jet Li)
(The) Next Karate Kid
(The) Octagon (Chuck Norris)
Once Upon a Time in China (Jet Li)
Once Upon A Time in China 2 (Jet Li)
Once Upon a Time in China 3 (Jet Li)
(The) One (Jet Li)
Ong Bak (Tony Jaa)
Only the Strong (Mark Dacascos)
Operation Condor (Jackie Chan)
Out for Justice (Steven Seagal)
(The) Protector (Tony Jaa)
(The) Quest (Jean-Claude Van Damme)
Return of the Dragon (Bruce Lee)
Romeo Must Die (Jet Li)
Rumble in the Bronx (Jackie Chan)
Rush Hour (Jackie Chan)
Rush Hour 2 (Jackie Chan)
Rush Hour 3 (Jackie Chan)
Shanghai Noon (Jackie Chan)
Shanghai Knights (Jackie Chan)
Sidekicks (Chuck Norris)
Street Fighter (Jean-Claude Van Damme)
Teenage Mutant Ninja Turtles
Teenage Mutant Ninja Turtles: Secret of the Ooze
Teenage Mutant Ninja Turtles 3
Timecop (Jean-Claude Van Damme)
(The) Tuxedo (Jackie Chan)
Under Siege (Steven Seagal)
Universal Soldier (Jean-Claude Van Damme)
Unleashed (Jet Li)
War (Jet Li, Jason Statham)