According to Wikipedia, "the offspring of any cross between a zebra and any other equine" is known as a zebroid. "A cross between a zebra and a donkey is known as a zenkey, zonkey, ... a zebrass, or a zedonk."
According to the Science Daily website, a zeedonk ("also spelled zedonk") is also known as a zebrass, zebronkey, zonkey, zebadonk, zenkey or deebra.
According to animals.net, "a zonkey is the hybrid of a zebra father (sire) and a donkey mother (dam). Hybrids of a donkey father and zebra mother are called a "zedonk", or sometimes a "donkra".
I make that nine more or less acceptable answers to this question.
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