You may not think that an egg makes for a very good ingredient when it comes to cocktails, but that's just because you haven't learned the right recipes yet. It's not just for breakfast, though you can certainly make a great cocktail with it to be served at breakfast time if you wanted. Adding this to your cocktail instantly gives a boost of protein, too, making it great to cure a hangover.
If you ask a bartender to make you a cocktail with an egg in it, they likely won't because they aren't allowed to based upon food code. That doesn't mean you can't make it at home, though. As long as the egg is pasteurized, you don't have anything to worry about. Think about all of the things that you've eaten that has a raw once inside – cookie dough, Caesar dressing – and now cocktails.
One of the most common drinks is of course egg nog. You're going to need eggs, brandy, rum, milk, cream, sugar and icing sugar to make this. You start off with the yolks and sugar and then add in all of the liquor. The liquor is going to help treat the eggs a little so that it's not quite as raw. Think of it as the same way that citrus treats seafood in a ceviche. All of the cream and milk gets mixed in, too, so that it thickens up. Just chill it and you've got a delicious drink to be shared with friends – especially during the holidays.
If the idea of a raw egg isn't your style, you may want to try a Chocolate Mug. This one is easy to make because you heat all of the ingredients in a pot on the stove and then serve it into a coffee mug. Beat three eggs and mix it with six cups of milk. Then add in a few squares of Mexican or Dutch chocolate. Add in a dash of cinnamon. As soon as it comes to a boil, let it simmer for a minute or two and you're ready to serve it.
You may be familiar with the term "hair of the dog"...this is going to be one of the cures for it, though it isn't for the squeamish. You take a pint of beer – preferably the same kind that got you into the current position that you're in. Then crack an egg inside of it. The whole thing. Let it sink to the bottom and chug it down. You'll likely get the protein boost from the egg in a few minutes after drinking it and not be wanting any more beer for awhile.
However you use eggs in your cocktails, it can be a very great ingredient because it brings out a richness in the cocktail that no other ingredient can. You will most always find it in conjunction with a cream based drink because of the way it is blended. Yolks, white or the whole thing, keep some in the fridge so you can experiment.