Here's the breakfast menu at Fairfax Fare at the Sunset Ranch Market, located next to Rock'n'Roller Coaster on Sunset Boulevard. Served until 10:30 AM, it's typical fast-food type breakfast... and perfect if you followed my advice to arrive at park opening and need a bite before lunch.
Outdoor seating. Good place to wait if the rest of you group is riding (or taking a second ride) Tower of Terror or Rock'n'Roller Coaster.