What other religion makes the claims of Christianity?

The claim that if you don't show your devotion to this particular set of ideas about God in this particular way, you won't have a pleasant afterlife?

Well, aside from the sets of religious belief that exclude "a pleasant afterlife" for everyone, usually by excluding any sort of afterlife at all...

Christianity in several mutually-incompatible varieties
Islam in several mutually-incompatible varieties
certain Buddhist sects
certain Hindu sects

Those are the ones I know of off the top of my head.

And if you're right that there really is exactly one God who wants people to hold and practice exactly one set of religious beliefs, but you pick the wrong one of these... you don't get a pleasant afterlife.

(What you get instead, varies. Some of those religions say that non-believers get no afterlife at all. Which is the same thing that most atheists say they will get, so if one of those religions is correct then the atheists are also correct about themselves.)