Vodka - Traditionally made with grains containing gluten, but some specialty vodkas are safe. Choose those made with potato, corn, or even grapes. Gluten free vodka list
Wine - Most wines are gluten free, but some might be at risk of cross contamination (lower than 20 ppm) from the wine-making process. Is Wine Gluten Free
Beer - Beers are generally NOT gluten free since they are primarily made with wheat or barley (both contain gluten). However, there are some options that are gluten free. Gluten Free Beers
Hard Cider - Most ciders are gluten free, however those that use malt could contain traces of gluten. Angry Orchard, Crispin, and Woodchuck Cider are some options. Gluten Free Alternatives to Beer
Rum - Rum is naturally gluten free because it's made from sugar. Is Rum Gluten Free
Whiskey - Most whiskeys are made from gluten containing grains. Jack Daniel's states on their website that their whiskeys are made gluten free during the distilling process. Corn whiskey, or moonshine, if it's made from a pure corn mash should be naturally gluten free, but manufacturers warn of possible contamination.
Tequila - Tequila is generally gluten free... except possibly the cheap stuff. Is Tequila Gluten Free
In general, check with the manufacturer if you are unsure, or steer clear. Search for alcohols made from potato, corn, grapes, or 100% Agave tequila. Wine coolers and malt beverages as well as flavored liquors should be avoided.