As far as I know, every iteration of Wanda Maximoff in the comics has had, essentially, the same power set. How those powers are described has been updated over the years (in-universe, either because she learned more about them, or because someone came along and enhanced them.) However, the one constant that has always been there is that she's magic.
Wanda Maximoff from Earth-616 (Mainsteam Marvel)
Early on, it seemed like her power was similar to other mutants that could manipulate energy; she can throw "hex bolts" that have various effects on their target. This would be a natural variation on her father's ability to manipulate magnetic fields.
However, we later learn that, in Wanda's case, direct intervention by a god changed her power to give her the ability to manipulate Chaos Magic. Once she learned how to fully harness her power, she was able to produce a nearly unlimited set of "reality-warping" effects. This puts her squarely in the category of "true magicians" like Dr. Strange. Indeed, she seems to be one of the most powerful such magicians, given the things she is able to do:
- She permanently altered the entirety of reality to begin the House of M storyline
- She removed the mutant abilities from ~99.9% of mutants instantly at the conclusion of House of M
Wanda Maximoff from Earth-99999 (MCU)
The powers she is described as having in the MCU universe, so far, as nothing like the ones she has in the comics. This seems odd, given that we've already established that magic is a real thing in the Marvel Universe -- Loki uses what is routinely called "magic" and "sorcery". We also know that Dr. Strange exists in the MCU and is even getting his own movie, and it's really hard to have Dr. Strange without magic.
However, the powers that she has do seem to make more sense given how she got them -- from HYDRA experimenting with Loki's scepter, the one he lost in the Avengers. Given that she wasn't born with powers, and that the scepter is likely the Mind Infinity Stone, means that her developing mental powers is more likely than developing an innate talent for magic.
Scarlet Witch appears in a ton of alternative Marvel universes, as she's a pretty major player in both the X-Men and the Avengers worlds (being one of the only mutant Avengers, plus Magneto's daughter). As far as I know, all of those iterations of her have the same set of powers from the same source -- Chaos Magic.