My favorite steak and eggs was at Mr Lucky's 24/7 cafe in the Hard Rock casino. It's the same T-b0ne steak they serve for dinner. It isn't thick, but it's a good size and has good flavor.
If you want variety, the Egg Works locations should impress you much as The Egg & I did. Almost the same menu. I think they are cleaner. I believe all 3 will customize a meal for you if they aren't too busy. I've had Egg Works waitresses that know me make suggestions that weren't on the menu. When I asked about it, they said, "no problem, I'll just tell the cook to do it that way."
That reminds me that I still need to try steak and eggs at Egg Works. I'll move that up on my list.
I'm sure you've had it, but I like the Fatburger breakfast sandwich. If I have one (or two) of those, it's gonna be a great day regardless of what else happens.