|King Creole (1958) [Shark]: Stabbed (we don't see exactly where) with his own knife during a struggle with Elvis Presley in an alley. (Thanks to Robert)
Tom Sawyer (1973) [Injun Joe]: Presumably starves to death after being trapped in his cave hideout. (I haven't seen this version, so I don't know how closely it follows the original story.)
Captains and the Kings (1976) [Senator Tom Hennessey]: Dies of pneumonia after passing out drunk in an alley in the rain; his body is shown afterwards when a policeman discovers him, then again during his funeral.
Great White (L'Ultimo squalo; The Last Shark; Shark) (1981) [Ron Hamer]: Reportedly drowned in the ocean while wearing an explosive-covered vest; his body is shown afterwards when it washes up and is eaten by the shark, before James Franciscus sets off the explosives. (Thanks to PortsGuy)
1990: The Bronx Warriors (1990: I guerreri del Bronx) (1982) [Hammer]: Reportedly shot with an arrow by Mark Gregory. (Thanks to Johan)