I've always said that vampires are a subset of zombie, but no one ever agrees.

Zombies: (usually) former humans that came back to life and can cause their victims to turn into them. Usually craves fresh meat. Almost always human, but some will eat anything with meat. Zombies can be caused by either disease naturally, or by magic (voodoo) or supernatural stuff (I mean, magic is supernatural, but I mean stuff like lich or demons doing it... I think that might be different than magic? I think that force is not the same as magic).

Vampires: former humans that came back to life because they were bitten by a vampire that can also turn people into vampires by biting them. Usually craves fresh blood. Almost always human, but some will make do with like cow blood, I think. Vampires can be caused almost always only by another vampire. But I think infected blood mixing can transform you?

There are differences between the average vampire and zombie:

Vampires are generally smart (sometimes smarter than humans), can talk, can fly, love sex, dress well, and are often very old. Most are affected by sunlight and religions, and some transform.

Zombies in general are shamblers, rabid, don't have urges other than hunger, and don't care about fashion at all, and tend to be falling apart.

That said - there is no hard rule that zombies HAVE to be dumb, etc. Just that they have to die and come back to life - as vampires do. So my rule is not all zombies are vampires, but all vampires are zombies ("real vampires", not people like the countess that bathes in virgin blood).