How broad is your definition? 110 has all the clatter, crowding and bustle of a real bistro. And certainly they have always done some things pretty well. (A really damn fine creme brulee - at least as of a few years ago.) Used to also do some very nice oven roasted mushrooms w/ garlic and other assertive, garlicky side dishes. Their classic roast chicken used to be quite worthy as well.
There's also Bandera - not a bistro per se - but classic grilled/broiled dishes - good meat, bustling atmosphere. Much more American than continental.
Nice things have been said about the cafe in Nordstrom's, but it's certainly not a bistro.
"Strange how potent cheap music is."