My wife and I are regular visitors to Paris, where I used to live.
We would like to have the kind of resto experiences in Rome that we have in Paris: Experiment a little -- no 'cute' fusion or arty decor, though -- return to tradition as to old slippers and, in general, have the kinds of meals that smell, that spell, terroir.
We look to enjoying a cheap trattoria as much as a fine Romano establishment. For the latter, we'll eat at an odd time to avoid the crowd.
We believe that it's about food, the food, and nothing but the food.