Funny story. In rustling aroind in the liquor cabinet for something that went with chocolate, i turned up three nearly-full bottles of Kahlua. So i be practicin' inventory control.
I've never been a fan, actually. If I'm going to mix Kahlua I'll generally throw a little tequila in it and drink it on the rocks. Otherwise I'll drink it on the rocks. If I want a milkshake I'll drink a milkshake. (I never want a milkshake) I recognize that my disdain for White Russians upsets the Dude-like order of the Coen brothers universe, but I've never cared much for the Coens either.
The Internet tells me it's called a " Brave bull". I call it "tequila and kahlua." They also want silver tequila. I usually use whatever rotgut I have on hand, which is often Cazadores, occasionally Hornitos.