The problem I have with a lot of the restaurants they list is they don’t open until lunchtime. That’s one thing I really miss in London – a good range of breakfast places actually open for breakfast!
I don’t live in London, so it’s rare I ever eat breakfast there. I’m sorry I can’t help out with some names that might help you out. I suppose there are always the small caffes that are all over and hotels have to do a breakfast, but that’s another world of eating. How about Automat or The Wolesley?