Places to eat in Rechavia
Depending on your view of kashrut - Carusella at the intersection of Azza and Metudela is a lovely cafe.
The owner/staff of the Carusella is one of the leaders of restaurants boycotting the rabbinute's kashrut supervisors. They say they are upholding kashrut in the restaurant but they no longer have a certificat. They are being joined in this by a number of restaurants in the shuk - places that have had ceriticats for years but are giving them up do to political differences with the rabbinute.
I Jerusalem particularly this has become a bigger deal over the past year, so if certification is important to you - pay a bit more attention.
If we're not talking fine dining, there is a branch of my favorite bakery, Lechem shel Tomer, also on Rechov Azza (#30). Great coffee and sandwiches -- and I don't get excited about sandwiches too often, excellent assorted quiches and pastries. They usually have soup, too, in the winter. Friendly service. You can take away or eat there -- seating is all outside, although there is a heater.
Shosh Cafe at Keren Kayemet 31 has more comfortable seating, although the food is more expensive and not as good as at L.s.T. Not bad, though.