I did a little lurking on this board while planning a trip to Rome. Now it's sadly over, but I wanted to say thanks to all for the help, and to report back on what I enjoyed (basically everything) during my trip.
Il Sanlorenzo: delicious seafood dinner in somewhat quiet setting with charming service. Red shrimp were featured and were delicious. The pasta with the shrimp crudo and cotto was magnificent. We got credit from Roman friends for knowing about this place.
Enoteca di Provincia Roma: Quick, tasty, inexpensive. This spot is very convenient to the Capitoline Museum and the food felt light, which was nice, whether or not it was true.
Al Moro: Roman friends took us here. They are regulars, so I can't say what the normal experience is, but we enjoyed it, even if the food wasn't my favorite on the trip. That front room is loud and fun and I like the art. We had the house specialty pasta and artichokes served various ways. I felt like I had stronger tastes elsewhere. It's possible things were undersalted, but also it was very hot in there and I had to carry on conversations, etc. Hard to concentrate.
Al Piperno: We went here for lunch and sat on the terrace. It was a beautiful lunch: carciofi alla giudia, the endive stuffed with sardines and greens (can't remember the name in Italian, but very nice), some kind of ravioli for him, also stuffed with greens, that was one of my favorite pastas of the trip, spaghetti alle vongole for me. Favorite meal for a number of reasons, although not because of my spaghetti, which was fine but the ravioli was better.
Da Remo: No wait, and I don't know how I would feel if otherwise. Obviously wonderful atmosphere and very good food. Fried stuffed olives, zucchini blossoms, pizza with mushrooms and sausage. I am going to take a risk and say that I don't quite understand Roman pizza. It gets very soupy in the middle. That sausage was good though. FWIW, the Romans I spoke with believe that Da Remo is the best Roman pizza (and condescend about the Neapolitan stuff).
Ciampini: On the Piazza di Lorenzo. This place is the best. Was there at about 11:30, ordered a plate of the little sandwiches that a table of elderly ladies was enjoying, and was brought two (alcoholic? they looked kind of like spritzes) drinks that apparently come with it. Best people watching of the trip. Love the Italian before lunch meal, whatever it is, sandwiches were tasty, blood orange juice divine.
Il Pomodorino: Wandered in after seeing people enjoying the terrace, service was lovely, squid and shrimp in cartoccio was perfectly done and came with yummy potatoes, business lunch crowd seemed happy, quite convenient to the Borghese Gardens.
Da Felice: Probably the best food of the trip. Split the cacio e pepe, had my own coda all vaccinara, shared asparagus and puntarelle, which they somehow still had (other places had said it was gone already). Everything was delicious, but we had only been able to get an early seating and it was too quiet plus we felt rushed along. Would not go before 9 pm in the future, but would go back in a heartbeat and eat exactly what I ate, again. Ruined my shirt. Waiter scolded me for not picking up the oxtail in my hands.
Gelato: Only tried two somehow, Fatamorgana on via Laurina--excellent; Gelateria Pica di Alberto was loved by my husband but the nocciola I am sorry to say wasn't the best. Very nice people and place though, and no complaints about the chocolate or coffee.
No complaints at all, really. Thanks again to everyone for your help and hats off to anyone who manages to spend lots of time in Rome.