Carthage-hannibal
Villa Didon
The very pricey Villa Didon hotel/spa would seem to offer food on the south-eastern side of the Byrsa Hill, near the Carthage Museum. However, in a December visit off season its attractive balcony looked to be out of service.
Antonin Baths
A small restaurant sometimes closed? sits opposite and slightly above the entrance to the Antonin Baths.
Carthage-byrsa / carthage-salammbo area
Punic Tophet
There is a restaurant-hotel with a relatively expensive but good selection including wines near the Punic Tophet on Rue de Hannibal south of the southerly Carthage-Byrsa station, east of Carthage-Salammbo. It's not far from the Oceanographic Museum.
North of Carthage-Byrsa, two local sandwich shops can provide cheap eats and coffee.
On the main road Route La Goulette between Carthage-Byrsa and Carthage-Salammbo stations, there is a restaurant that offers a range of salads, meat dishes, sandwiches, etc., notably including pizza.
There are a number of eateries scattered around the district, though most lie outside of the major tourist trail.
Basilica of Saint Cyprien
A tiny patisserie operates on the corner in front of the Basilica of Saint Cyprien. Drinks can be acquired opposite at the gas station.