As far as action movies, which I don’t care for very much, I liked Matrix. It was weird and sci-fi-ish but I liked it. 
How about Carlito's Way with Al Pacino? That's one of my favourite action flicks!
I wanna add few more, although some of em are not action thriller but great movies to watch:
Arlington Road
Lake Placid
Armagaddeon
Enemy of the State
Face-Off
Mr Xtreme:)
Good one. Terminator
All the Indianna Jones movies. Pure Fun.
Whats that movie with Clint Eastwood?
(as a failed bodyguard for the president? and that guy with the plastic gun?) Yeah..that one... lol I forgot the name:) but I think academy award winner.
Thats it.. thats my list.