Hi [MENTION=14512]cawhite[/MENTION],
I've merged your question into the consolidated Los Angeles restaurant thread, where it will get more exposure than a stand alone post.
There are so many options, traditional, modern and ethnic. Off the top of my head, the following come to mind:
Musso & Frank Grill, the quintessential restaurant of Hollywood's golden age.
More modern options include
Paley in Columbia Square - the former home of CBS - serving updated American food, and
Kismet, serving Mediterranean inspired food.