If you mean combat style...then Demon's Souls and Dark Souls (in terms of the slower more strategic striking).
If you mean in terms of semi epic boss hunting/fighting, then Ragnarok Odyssey, Phantasy Star, and God Eater.
To be quite honest, there isn't a hell of a lot like it. Then again, Monster Hunter isn't even what it was (with the cat battle comrades and the farms). In some ways it better, but most of the monsters are cake now (I started on MHF and MH Dos, and the most recent games I've played are MH Tri and MHP3rd). The series is still solid, but I honestly didn't mind Ragnarok too much.
Might pick up MH3G on 3DS in March.
Anyways, to reiterate, there isn't a lot that is specifically like it (Demon's Souls boss fights are much shorter in comparison, but you stand to lose more if you screw up, plus there's no 3 chances stuff).
The pendulum swing, in OUR engagement, ETERNAL engagement, will never swing YOUR way --Valentin - Lurking in Shadows - 2012