We recently had two nights in Fiumicino - one at the beginning and one at the end of our trip to Italy in March/April 2023. Highly recommend a few restaurants, as well as a little brewpub not far from Hotel Tiber where we stayed (also a good choice, with a cheap airport shuttle and a good breakfast offering).
Beer Wave (https://www.facebook.com/beerwavecraft/). Tiny brewery located around the corner from Hotel Tiber in Fiumicino. Limited food menu, which we did not try, but microbrew-loving hubby thought the ales were very good. I had an Aperol Spritz made with lambic (Belgian wild yeast ale) and it was the best Aperol Spritz I have ever had.
Tarumbo, Via della Torre Clementina, 206, 00054 Fiumicino RM, Italy. No website, but Yelp and Trip Advisor have reviews - although I can’t seem to find a complete menu anywhere. Lovely dinner, with meat and fish options as well as pasta, pizza and a variety of focaccia. Nice wine selection, includes half bottles. Indoor and outdoor seating areas. Reasonably priced, about $65 for 2, including a half bottle of wine.
Follis, Via della Torre Clementina, 146, 00054 Fiumicino RM, Italy. Website has no info. https://www.facebook.com/FollisRistorante/. This is a real wow. Not sure why it is listed as an “American Bar” - nothing American about it as far as I can tell. This is NOT a pizza place. Beautiful bar area, plenty of indoor seating. Wine “list” was a book that weighed a few pounds. We had fried anchovies as an app, with a lemon gel. Pasta w prawns and peas had 2 sauces - delicious. Pasta with mussels and asparagus was also fantastic. Beautiful food presentation. Reasonably priced, about $70 for 2, including a bottle of wine.