Of course there are! 'associated with' allows for a great deal of latitude. In fact, just in beer itself, there are several beers that are associated with, but not directly a result of, religious customs.
Lenten beers are an entire category in and of themselves, but since you don't really want to hear about the giant selection of Bocks and their variety of flavors and the rich history therein, we'll skip those for now.
Whisky as indicated here has been associated with religious rites.
Mead has been associated with various rituals, mostly from the Scandinavian regions. Some of these rites and rituals are so ubiquitous that it's fairly common to hear people ascribe the origin of the phrase 'honeymoon' to drinking mead.
Chartreuse, 'the only liquor so good they named a color after it', is brewed by Carthusian monks.
These are just a few examples; some others, besides beer, wine, whisky, mead and chartreuse, include;
- ayahuasca, which isn't specifically brewed to be alcoholic, but tends to be stored and fermented
- kefir, which is technically haram, forbidden in islam, but definitely does get fermented
- kombucha, if you want something fun, which typically isn't part of a traditional religion (that I know of), but read the article. It's pretty funny.
There's a lot of interrelation between alcohol and religion, because yeast has been around for a long time, and so have various religions. Dig deep enough, you'll hit a religion that uses the drink.
