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Probably the best way to explain is with a few examples:
In Looper, hit men kill people sent to them via time travel from the future. Eventually, their contract is over when they “close their loop” and kill their future selves sent back.
In The Prestige, a magician is given a machine that can create a perfect clone of himself. So as not to divulge the “trick” of his stage illusion, he kills his clone (or perhaps it’s the other way around?) during each show.
In The One, a homicidal maniac transports from one alternate universe to another, accumulating power with each version of himself he kills in each new universe.
So what are some other examples where a character kills an incarnation of themselves, but in a way that would better be considered homicide rather than suicide?
Also, can you name an actor who killed himself in a movie by playing two distinctly separate characters (and not just incarnations of the same one like with the Hugh Jackman and Jet Li examples above)?
Lee Marvin playing Kid Shelleen and Tim Strawn in Cat Ballou would be one case.
Your OP title, Non-suicidal characters who intentionally kill themselves (SPOILERS), sounds different from the example types you are looking for in your first post.
Answering that supposition, of non-suicidal characters who intentionally kill themselves. I’d pick Dr. Serizawa, from 1954’s Gojira(Godzill) He deliberately cut the airline to his diving suit, so that nobody would ever be able to wring from him the knowledge of the oxygen destroyer.
I’m assuming he didn’t want to die, but was willing to do so, for the sake of not having such a dreadful weapon available.
Lady Mariko - Shogun Allows herself to be killed when she could have escaped. She was in poor situation but after several readings I don’t believe she was suicidal.
The protagonist of Fallen kills himself and his partner out in the woods in a vain attempt to kill the demon. And it would have worked, too, if it weren’t for that meddling cat.
ETA: I really should read the OP first. Just realized this isn’t technically in line with the OP.
Thanks for the first response that actually read the OP!
I’ve heard of this show, of course, but suspect I’ll never get around to seeing it until I resort to a week-long 4-season binge-watching marathon. But with all the different characters the same actress plays, I suppose it would happen eventually.
In John Dies at the End (the book), Dave finds a dead version of himself in his shed, and assumes it was a fake him from the monster dimension. Until he thinks to look for his birthmark, which isn’t there, but IS present on the body. It turns out he was a monster sent to kill the real Dave, and he succeeded.
He gets over it, and ends up accepting that since he has all the memories and the personality of real Dave, he may as well be. Nothing really comes of it, except John jokingly calls him “monster Dave” sometimes.