I just got back from Los Angeles yesterday. Egg Slut is good for breakfast as jtanner mentioned.
Before heading to LAX I had breakfast at Superba Food & Bread at The Point location. Their avocado toast and french toast are amazing. The added bonus is there are so many milfs at this location, I think I was the only guy there
If you are in Long Beach you gotta have the Seafood Cobb salad at Kings Fish House.