As many as countries in the world. I do really doubt that somebody has counted its number. But if you are interested in specific cuisine, I would be happy to help you out.
HOW MANY FOODS ARE IN THE WORLD?
Yet another question impossible to answer.
Magic 8 Ball says:
Two pizza and tacos
Dear Anon,
I went to a site called the Wiki Answers Community (so many ads it choked the RAM on my old laptop), anyway they said it was "over 20 million." But gave no reference for that...
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What - There are more than cheetos and beer?