(There is no such thing as a good action movie btw. There, you'll note, I am being slightly judgemental. And I really do mean it. But I'm only stating my opinion. And it's only because I know that pretty much everybody reading this disagrees with me that I'm stating it as if it's an absolute fact that should be obvious to everyone. I do mean it, but the fact that I'm saying it is a joke. It's complicated.)
You know you're just begging people to respond with good action films, right?
OK, I'll bite. Have you seen:
High Noon
Shane
Unforgiven
The Magnificent Seven
??
Yes, I know, those are Westerns. But quite a few Westerns are also action films, just with the setting constrained to the old west. :-)
How about:
Star Wars (Episodes IV-VII)
Blade Runner
The Terminator
Back to the Future
Yeah, again, I know Sci-Fi ... see above comment about Westerns. :-)
and
Vertigo
Chinatown
The Usual Suspects
What? Mysteries you say? See above.
How about:
Saving Private Ryan (OK, it's a war movie, but you can exclude all those too, can you? :-) )
Apocalypse Now
Full Metal Jacket
The Godfather (and part II)
Goodfellas
Pulp Fiction
Raiders of the Lost Ark
quite a few of the Bond films (Dr. No, Goldfinger, ...)
Dirty Harry
Juurassic Park
Die Hard
Rocky
The Matrix
......
Wait, do we need to argue about what an action film is first? :-)