The Pub in the Gulch is a British Pub, it has some good stuff.
Jack Brown's has some really good burgers. It's in Germantown.
Rotier's on Elliston isn't bad.
Taco Mamacita in Edgehill Village has good non-traditional tacos, in case they'd be into that.
Desano on 16th has good brick oven pizza.
There are a few pretty decent places not too far from downtown. I didn't list anything really ethnic since you said the family was kind of picky.