Drunken Master II (re-released in slightly edited form as "Legend of the Drunken Master" in the US) is the one that's typically regarded as a bona-fide classic masterpiece.
Just a note, "Legend of the Drunken Master" is more heavily edited than you may be aware. Here's a video illustrating some of the problems: https://www.youtube.com/watch?v=0A1vMKS6jFg
I wouldn't recommend watching it. It's really missing a lot of the charm of the original.
Don't forget about Police Story! I can still remember seeing that in a smokey Chinatown theater in NYC and being stunned by that mall scene at the end.
Police Story and Chan's other 80s movies are the rare genuinely "all ages" entertainment (the only other thing I can think of off the top of my head is Spongebob).
They're good for kids because they are funny and full of action without being grim or dark. They're easy to follow, even for young kids, because of the lack of shaky cam and fast cuts.
They're good for adults because of all the crazy choreography and stunts.
Thunderbolt from the mid 90's is one of his less popular, but it was Fast and the Furious, but 5 years earlier. He loves Mitsubishi, they're in a lot of his films.
Who Am I, First Strike, Police Stories, Armour of God, Mr. Nice Guy are all great, too.
Just a warning, but with Who Am I, my love of the movie largely comes from the rooftop fight sequence. It has been long enough that I only vaguely remember a few parts of the movie outside of that sequence. Thanks for the tip on The Foreigner, I will definitely check it out.
Not the same kind of movie (and not Jackie Chan), but Kung Fu Hustle is definitely worth a watch if you haven't seen it. I also always thought that Bjarne Stroustrup kind of looks like The Beast in Kung Fu Hustle (it's the hair and glasses).
Drunken Master is pretty good!
Drunken Master II (re-released in slightly edited form as "Legend of the Drunken Master" in the US) is the one that's typically regarded as a bona-fide classic masterpiece.