The Naked Prey (1965)
A group of men are on safari. One of the party refuses to give a gift to a tribe they encounter. The tribe is offended, seizes the party, and one-by-one, kills all but one of the safari members in various creative and horrifying ways. The last surviving member is given "The Lion's Chance" by the tribal leader to be hunted down by a party of tribal warriors. Naked and weaponless he is set loose, the hunters hot on his heels, beginning a life-or-death hunt through wild Africa.