If you liked Payback, check out the Lee Marvin movie Point Blank. Its based on the same novel but is from the swinging '60s and directed by John "Excalibur/Deliverance/Hope and Glory" Boorman. I'd personally argue its many times better than Gibson's movie, but that's just my artsy fartsy bias speaking. The ambivalent ending may turn some people off, but I love it.
Similar revenge flicks worth seeking out:
Get Carter: Michael Caine plays Carter, a hard-as-fuck Cockney gangster who tears up the underworld after finding out that his brother's accidental death may not have been an accident. Its spare, lean, and mean, with some of the seediest characters and settings I've ever seen (English sleaziness is extra sleazy, I guess). Sly Stallone made a remake which is fucking horrible, so make sure you get the right movie.
Dead Man's Shoes: British film about a soldier who returns to his home town to avenge the death of his brother at the hands of some local scumbags. Quite low-key but also quite cool in a nasty kind of way - wait for the scene with the suitcase. Paddy Considine does Scary Motherfucker real good.
The Limey: Terence Stamp in a Soderbergh movie about a Cockney ex-con (what's with all the revenge films with British heroes? I dunno) who gets out of prison and goes to L.A. to investigate the death of his daughter. Its a Soderbergh homage to '60s cinema and is kind of a sequel to a crime flick Stamp did back then. It has a great scene that I won't spoil here except to say that its sometimes a good idea to search a guy before you decide to beat him up and mock the murder of his only child.
Coffy: Pam Grier blaxploitation about a nurse who goes on a vigilante rampage after her sister gets hooked on the drugs. Its crass, tacky, and thoroughly enjoyable. Foxy Brown (which came out 9 months later) is basically more of the same, and almost as good.
Oldboy: Fucked up Korean movie about a man who is imprisoned and tortured by a stranger for years and then breaks out in search of vengeance. The director also did Sympathy for Mr. Vengeance and Lady Vengeance, the other two parts of his "vengeance trilogy". All three feature brutality and some seriously depressing and disturbing subject matter, but they're beautifully crafted.
Straw Dogs: Sam Peckinpah's infamous movie about a nerdy pacifist (Dustin Hoffman) who ends up getting on the bad side of some thugs in his British wife's home town (again with the English!). Its a slow burn but once Hoffman decides he's had enough its some intense, gritty, crazy stuff. Of course, somebody's decided to remake it, but I recommend seeing it just to watch Rainman go postal.