How much are you looking to spend? My favorite is Providence, but it is rather expensive. My second choice would be Grace--expensive, but less so. I like AOC a lot but I feel that it wouldn't be a good wedding gift--not a romantic atmosphere, and less special occasion-y than the other suggestions.
I would add two LA restaurants more to the mix:
(here is a review from the LA Times: http://www.calendarlive.com/dining/virbila/cl-fo-review30aug30,0,2718092.story
Here are a few favorites:
Hotel Bel Air
Not trendy, I went there for the first time Saturday night, is Carlito Gardels on Melrose. The food was terrific and it was very romantic. The service was great. They have a website.
There are so many to choose from!