I've been meaning to try Overeasy. This is not the first recommendation that I have heard.
I like many of the ones that have been mentioned, so I won't repeat those. One that I did not see mentioned was
Cadence in Inglewood.
JiriHrdina: What was wrong with the Avenue Diner bennies? It has be a while since I have eaten there and quite a few years since I have had their bennies, but that would have been one of the ones that would come to mind first.