My fiancee and I will be doing our honeymoon in London and Paris in October. We have 4 nights in London and 3 in Paris. I'm willing to spend more on food because my flight and hotel(s) were purchased on points.

I won't say that we're foodies, but we enjoy unique experiences that Michelin star restaurants often provide, which certainly isn't present in Florida. However, we are really unsure of where to go despite countless hours of research. I will say that the London restaurants have nice lunch prix fixe to offset some of the premium you pay for the stars. We do have other places like Gillrays and Julie's based on family and friends recommendations.

My plans so far, but I am here for suggestions based on previous experiences:

London
Gordon Ramsay - lunch
Dinner by Heston - dinner
Adam Handling - lunch (we're staying at St. Ermin's)

Is Alain Ducasse worth a trip for lunch?

Paris
Guy Savoy - not sure whether dinner or lunch

There are so many restaurants that I haven't been able to narrow down my choices yet. We're staying at the Renaissance Vendome and would like something relatively close.