Drinks containing... mayonnaise

Greasy Mexican (Shooter)

Mayonnaise, Tequila

Smoker's Cough (Shooter)

Jagermeister, Mayonnaise

Swass Factory (Cocktail)

Firewater, Jim Beam Bourbon Whiskey, Mayonnaise, Tabasco Sauce, Tonic Water

The Tapeworm (Shooter)

Black Pepper, Mayonnaise, Tabasco Sauce, Vodka

Recipes at the links, via Bifurcated Rivets.