When compared to Chan's Hong Kong efforts "Rumble in the Bronx" pales in comparison in many areas. In terms of Chan's American films "Rumble in the Bronx" is easily his best American film.
Rumble in the Bronx tells the story of a young man visiting and helping his uncle in New York City finding himself forced to fight a street gang and the mob with his martial art skills. The subplots carry the narrative, but as a whole the story is unremarkable. There's no drama of any kind or buildup for any major scenes. It all runs at a brisk pace and it'll be over before you know it. It barely reaches the 90 minutes mark and in that amount of time it justifies some of the action scenes. It's not entirely brainless so when a fight occurs so it's more forgivable even if it was unneeded. It has an inconsistent tone. While it's not directly shown it is implied the villains did kill two people by putting them in wood-chippers. The ending also leaves something to be heavily desire. It just ends after without a proper closure on the story. The story contains enough material to sustain your interest for its short duration and Chan signature humor will get a laugh out of you.
In terms of production it's clearly low budget, but the filmmakers made good use of what they had. Chan performs some dangerous stunts and while not as dangerous anything in his "Police Story" series. The stunts here are no less exciting. The fight choreography is typical Chan style and that's a good thing. Chan always knows how bring a different kind of energy into his fight scenes being able to incorporated humor without slowing the flow of the action. Since this is Chan you should expect nothing less but fast pace action with elaborate fight scenes and nice used of props. The dubbing on the other hand can get annoying. Some of the dubbing makes things unintentionally hilarious. The cast acting is nothing noteworthy, but do a decent job to not ruin the film when Chan's not on screen. Chan is in the leading role with the acting chops and martial art skills to make for one exciting action hero.
Rumble in the Bronx is best watched when you got around 90 minutes to spare. It's not a memorable Martial Art movie, but it has enough here to entertain you and it's short run time makes sure it's over before it over stays its welcome.