What beers are made without malted barley?

Answer 1

Malted barley is the main ingredient in pretty much all beers, even some gluten free beers use extremely low amounts of refined barley malt extract.

If you want a beer specifically not made with any barley at all, I would recommend reading labels and calling breweries. You'll probably have to avoid all mass market breweries, though I believe AB-InBev does make a sorghum lager named Redbridge (no idea if it's totally barley free).

Answer 2

Rum, tequila, and brandy definitely don't.

Answer 3

you don't need malt for beer so probably any beer really

Malted barley is required to make beer. If there is no malt, it is not beer.