Jack always kills the bad guy
Always. Well, no, mostly.
Day 1, Victor Drazen runs out of ammo in a gunfight with Jack and surrenders:
Jack shoots him 12 times in the chest and watches in silence as his corpse floats away:
Day 2, he tried very hard to kill Peter Kingsly, but got a last minute assist from a helicopter-based marksman as he'd run out of ammo and was severely injured from beating several mooks to death. He did however encourage his daughter to murder an unconscious man.
Day 3, Jack's having a bad day, and to make himself feel better he kills an unarmed Nina Meyers after she refused to learn that killing Jack's family is not okay:
Day 4, maybe Jack's calming down in his old age. Today he drops Habib Marwan off a roof, but to be fair he was cutting Jack's hand with a hunting knife, so we'll let that one drop.
Day 5, after Jack is done saving America from Nerve Gas, Dawn Brigade has broken into a submarine and are about to attack America with it. So Jack strangles a guy to death with his murderous thighs:
Not satisfied with this, Jack gets a bit nostalgic and sets up the questionable Christopher Henderson by giving him an unloaded gun. Once Chris attempts to shoot Jack, he fills him fulla lead:
Day 6, after Jack subdues and ties up Abu Fayed in chains, jack activates a pulley system so he's strangled to death:
Day 7 is the major exception. Jack kills Juma in genuine self-defence (he goes for his gun after the White House attack and Jack takes him down). Most of the bad guys take each other out except for Tony, who breaks our hearts and lives.
Day 8 and the guilty are punished. Jack takes out an unarmed Dana Walsh:
tortures and dismantles Pavel Tokarev:
and turns Mikhail Novakovich into a kebab: