Quality is one of my favorite brunch places in LA. The cuisine is a combination of Mexican and American diner fare, and the menu has everything from breakfast (whole wheat pancakes, omelettes, home fries with eggs) to sandwiches to beans and rice (with guacamole and sour cream on a hot bed of spicy home fries--delicious).
It's located on 3rd Street in West Hollywood, so it's a convenient stop after either the Farmers' Market (3rd and Fairfax), the Melrose Flea Market, or LACMA. There are five or six tables outside, which are great for people watching (we saw the hairiest man I've ever seen in my life cruise by in biker shorts), or if you want to smoke. Otherwise you can take a seat inside, which with its mint walls and Art Deco lights, has a very 50s Hollywood feel. Quality is definitely upscale (with a hip clientele), but it's still casual and relaxed enough to be a good place to read the paper.
I had the banana whole wheat pancakes, which were nice and grainy and very tasty, and also an enormous cappuccino served in a bowl. Someone else had a club sandwich, another had a huge fluffy omelette, and one had huevos rancheros on home fries. Everything was delicious and perfectly prepared (especially those light, perfect omelettes)--well hell, it was Quality (hahaha). It's not the cheapest place for brunch, but it's one of the best. (Another forerunner is King's Road Café, located just up the street.)
Right next door to Quality is A.O.C., a new wine bar and restaurant opened by Caroline Styne (who owns Lucques on Melrose as well). I haven't had the chance to try it yet, but is supposedly a French-style tapas bar and restaurant. The space is lovely--gold and nicely lit with banquette-style leather benches. But beware, it's closed for lunch. There are a couple photos of it below.