Technically speaking, a Zombie is actually a fully-functional (physically speaking) individual brought back to life to serve a life of slavery to a Shaman known as a Houngan through the inexplicable powers of Science and Black Magic (The same forces that keep my Cadillac running) whereas a Vampire is not what Bram Stoker depicted and certainly not the shiny guy from Twilight, but a ravenous, withered corpse, which roams the countryside in an effort to find fresh life force to sustain it's accursed and unholy existence. They acquire this by eating the flesh of others, similar to Ghouls and Revenants, the latter being particularly vexatious to deal with, as they are a metaphysical manifestation of the being's soul as a shell of their former life, in a skeletal and warped form, so destroying their corpse does nothing In opposite fashion, a Ghoul's existence was never mortal, so one simply must destroy it, but having no corpse, they are always conscious and aware, so confronting them unprepared will typically be fatal or life-altering at the least, as they have superhuman and supernatural abilities, but this can be avoided by keeping one's distance, as Ghouls eat only the meat from corpses anyhow, especially abandoned cemeteries, where the meat has been properly ripened. The vampire on the other hand, which is in all truth essentially what you would see in a modern Zombie flick, has little-to-no brain power and is weak and feeble. They are particularly vulnerable while dormant.
Skip ahead a century, and the word has stretched to encompass all sorts of things, rather than it's simplistic, initial definition. "Vampire" became a broad term by then and included even supernatural entities that could not be seen physically and had to be hunted by Dhampir, those who were half-vampire as only they could detect them. One must question if the highly paid Dhampir who would wrestle the vampire's invisible form in a village square for a handsome reward upon defeating it were more than just talented actors with a few effects up their sleeves. The Djadaji was another hunter of the spiritual "Vampire" who would literally bottle the entity, typically sinking said bottle to the depths of the sea or something of that nature, to seal it away for eternity. Not unlike the Djinn of other regional folktales, except of course the Djinn grants wishes if you release it from it's bottle.
Back to Zombies though. The most talented of the Shaman could deliver spirits from the depths of the netherworld to inhabit he bodies of the deceased in a sense much like the "Zombies" would would see in modern cinema, though these are technically not zombies at all and one must imagine them more as pawns living in the bodies of the dead like empty shells and being directed by the Shaman like Marionettes. The Houngan is himself a direct priest who lives his own life in servitude to the Loa (Gods in Voodoo) and ones with such talents as these are most often in service to Ghede, also known as Baron Samedi, who is a somewhat eccentric God of the dead filling the trickster god role found in most polytheistic religions or to a lesser extent, Dumballah-Wedo, the mighty serpent who is wed to Ayida-Wedo, the Rainbow.
Get it together, guys.