Best Cafés for Breakfast in Burlington, Washington. Find 2286 traveller reviews of the best Burlington Cafés for Breakfast and search by price, location and more. Curious Chef, Burlington: See 51 unbiased reviews of Curious Chef, rated 4.5 of 5 on TripAdvisor and ranked #9 of 78 restaurants in Burlington. Billy's Café - 316 E Fairhaven Ave, Burlington, Washington 98233 - Rated 4.9 based on 188 Reviews 'I was born 40 years ago, but hadn't really lived until. Shari's - 1520 S Burlington Blvd., Burlington, Washington 98233 - Rated 3.7 based on 114 Reviews 'If your in a rush, go to McDees!!! If you want to sit.