I refrigerate my dry vermouth simply because I use it in martinis which need to be chilled, and that probably helps it slightly. Red vermouth I do not refrigerate, and have never had a problem of it going sour, even after a month. But I buy a cheap red. Maybe higher sugar content? There’s a $30 vermouth out there that I would damn well refrigerate if I had it!
All other booze stays room temp. Not big wine drinkers, but an open bottle wouldn’t last long enough to spoil.
I think sake is the only wine I’ve gone out of my way to refrigerate after opening.