P.S. Buddhism, which doesn't have a deity, has reincarnation but if my understanding is correct, seems to say "life is suffering, and you can't end it because reincarnation. What we offer is a way to end that suffering by ceasing to exist, by ceasing to feel, by cutting off all attachments." If reincarnation is real, I wouldn't want to stop.
That's... not particularly accurate. Like, a lot of the parts are there, but the framing and whatnot is just... off. Buddhism identifies the root of suffering (which isn't life in its entirety or anything like that, but the primary negative aspect of it) as
desire (
not, mind you, feeling), and offers a path towards stopping that. That, in turn, provides a
means to step outside the cycle of reincarnation -- even if you actually do obtain the mastery necessary to separate yourself from the cycle, that doesn't mean you
have to. If you want to continue reincarnating after obtaining enlightenment, buddhism also allows for that (hell, people considered to have done so are one of the more venerated figures among the various sects). Separation from the cycle of reincarnation generally isn't a matter of ceasing to exist, either, but rather entering a state of nirvana, separate from the cycle of reincarnation -- some conceptualizations of that is indeed nonexistence, from what I recall, but most aren't. More common is generally a dissolution of the self, iirc, but that's a notably different thing.
A better shorthand description would be, "There is suffering in life. Suffering is caused by desire. The way to escape this is to stop holding on to your desires, to cease finding those attachments to be an intrinsic part of yourself. In doing this, you obtain control over your place in the cycle of reincarnation." What those bits entail, exactly, differs based on the particular interpretation you're working with, heh.