There are a handful of anti-heroes who I definitely think are worthier to list.
1. Caleb from Monolith Productions' Blood
He's amoral, power hungry, delights in killing his enemies in a variety of ways, cares only for vengeance, and he has a tendency to quote pop culture like Duke Nukem.
2. Kerrigan from StarCraft and Brood War
A special Terran assassin betrayed by the man who saved her from the Confederacy and whom she most trusted, now turned into a Zerg-Human hybrid who thrives upon carnage and has lost much of her own code of ethics. She was assimilated by the Zerg, but she's more independent than other Infested Humans, and her reckless actions to the death of Cerebrate. Even after the Overmind died, all she cares about is power and revenge. Raynor's line from Brood War still sticks in my mind: "How many more noble souls do you need to consume before you're satisfied? How many people have to die before you realize what you've become!"
3. Kain from the Legacy of Kain Series
A mere nobleman who turns into a vampire after being killed by assassins just because he wanted to live. The pact he made with suspicious forces leads him to become a bloodthirsty and amoral character who first is motivated by revenge, then tries to save the rest of the world by from a tyrant, and then changes history for the worst. By the events of Soul Reaver, Kain has turned into a complex Machiavellian figure with complex schemes employed by questionable ethics.
4. Raziel from the Legacy of Kain Series
Once a servant of Kain, now a soul-devouring corpse of his former self who is motivated by revenge, and used by ominous and mysterious forces. First he wants revenge, but then he convinces himself that his vengeance upon Kain is for a noble and religious cause once he discovers that he was once a Sarafan priest. As his story progresses, he he becomes more conflicted and confused, and makes rash actions alongside changing the preplanned course of history. He's not a bad anti-hero, but he's an anti-hero in that he did not set out to become a hero from his actions.
5. Tomasi "Tommy" Dawodi from Prey
Tomasi is also an anti-hero due to his reluctance to be a hero. He has abandoned his Cherokee heritage, and wants to live away from his reservation home even though his grandfather tells him that he needs his heritage to survive. Even when Tommy is kidnapped by aliens and faced by insurmountable odds, Tommy doesn't want the responsibility of saving everyone else or to follow his grandfather's teachings. Once his grandfather gives him the ability for his spirit to leave his body, hunt for his enemies with a Cherokee spirit bow, and harvest the souls of his enemies, he gradually changes. Tommy still is reluctant to follow his grandfather's counsel, but when his recklessness brings about more disaster and tragedy, he goes full out Cherokee warrior on the aliens.
6. Leonard from Redneck Rampage
He's a redneck who likes to drink, eat pork grinds, shoot chickens and cows, and make wisecracks at inappropriate times (like Duke Nukem). He only fights the aliens and their hordes of redneck clones just to save his prize pig. I would say that would count as the motivation of an anti-hero.