Quiet places on the Westside
You might consider Valentino's. I seem to recall that they have a patio? I don't remember it being too terribly noisy inside, in any case. They are on Pico just west of the Santa Monica Frwy between 31st and 32nd street. I have heard some really good things about Josie's at 2424 Pico, just a few blocks west of Valentino. One of them is that the restaurant is quiet. Another is that the food is excellent. Noise is a particular gripe of mine too. My wife and I find Guido's, on Santa Monica Blvd. just east of Bundy quiet, but the food is only good, not great. Finally I would say that Michael's in Santa Monica would be a good choice, with the caveat that I haven't been there in a few years.