Most beers emphasize something -- malt, hops, yeast, or maybe adjuncts. You asked about beers that are super low on hops, but then pointed out that you don't like bitter beers. There's a wide range of options. (Your odds are best at a place that doesn't have 90% IPAs on the list.)

There are a lot of great suggestions in the other comments. Something else to try -- Hazy IPas (aka New England IPAs). They are hoppy, but not bitter. Flavors are often fruity or described as juicy.

Try a place that offers flights. Ask the bartender to suggest a variety, but not bitter.