Ginger beer (as in fancy ginger ale) + lime juice + bitters, well-iced, is quite tasty. It's a Moscow mule without the vodka. You can mess with adding tonic water if you miss the vodka taste. A splash of Luxardo syrup, cherry juice, blueberry purée, of any number of other little flourishes (lychee is notably great, tumeric is interesting) can make it extra special. I drink occasionally but I also enjoy these NA concoctions. It helps that I don't have friends who make it weird for anyone to not drink alcohol when we're out or at parties.
Bitters (e.g. Angostura) is typically alcoholic though isn't it?
So is mouthwash but I doubt you put enough in to trip the drink past .1% ABV.
But this could be of importance for people stopping alcohol due to liver disease. But otherwise should not matter at all indeed!
I want the bitters so that I don't feel like I am cheating too much, now.