We were in Rome in May, and here are some restaurants we had very good meals at (in no particular order):
Armando al Partheon
La Gensola
Colline Emiliane
Roscioli
Cul de Sac
Osteria Barberini

amenadeo

Sure. Food and fashion in Rome -- and its interaction with tourism-- is an interesting subject. And now "apps" are becoming some people's sole experience of eating in Rome. They just follow the app. I realize tourists have always done this -- whether it was with a Michelin guide or a Rick Steves book -- but I think one of the huge downsides of apps is that food or a restaurant in Italy almost always has a story and part of the enjoyment of eating in Italy is listening to Italians tell you that story. They so readily do that -- even if the story is just "this is my great-aunt's recipe" or "this is from my garden " or "my brother and I began this restaurant 25 years ago." But usually the story is longer than that (and not always precisely true!) and a lot more complicated than what you are going to find on an app.

I think eating in Italy if you pay equal attention to the storytelling (and it depends too on who is talking and why)

Last sentence should have been: "eating in Italy is better if you pay equal attention to the storytelling (and it depends too on who is talking and why)"

I second Pepper's recommendation of Trattoria Monti--I have the onion flan every time.