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In the summer is a treat with big name dancers, singers, and artists from all over the world for a very reasonable price (10.5 DT). Plastic chairs are not worth the price (26 DT) unless you are really aching for back-support. Most people bring cushions or blankets for the amphitheatre seats. Plan a late night out with concerts normally ending after 1AM.
Ruins of the largest Roman baths outside Rome itself. The site also has a Punic cemetery, some old houses, some Punic kilns, a chapel, some graves, and mosaics. Guides are available in a number of languages, and may be worthwhile as the site is large. It is illegal to take photographs in the direction of the presidential palace. Doing so, especially when traveling alone, may land you in jail for up to 3 years, though the guards don't appear too concerned.
Most remnants excavated from the ruins have been stored in the cavernous museum located on Byrsa Hill, documenting both the Punic and the Roman eras. Signs within the museum are entirely in Arabic and French. On the second floor, the part nearer to the staircases showcase artifacts from Roman times, and the inner part the artifacts of the earlier Punic period. Fascinating artifacts such as alabaster jars and jewelry remain. The descriptions of the Roman conquest and the legend of Dixon are also vivid, but sadly, inaccessible to English speakers. The museum grounds offer sweeping views of the coast and city, and also include the ruins of some Punic streets, the former site of a public library, numerous sculptures, a chapel or church, some excellent mosaics and some coffins. A few benches under the trees with a great view make for a good resting spot. Unfortunately many items about the grounds are unlabelled, so a guide may be useful (or eavesdrop on a tour group if you can). Ignore the shifty guy trying to charge you 1 DT to use the toilet. As of Nov 2018 visitors are allowed to access museum grounds only, while museum building is closed for reconstruction.
A very large series of water cisterns which functioned as a water redistribution point at the terminus of a long (90 km?) aqueduct from the hills to the south. The remnants of the end of the aqueduct are still standing. Also offers reasonable views of the city.
An eviscerated Roman amphitheatre constructed in the first century CE, ringed by forested, rolling hills. Interesting for a quick stroll, but it is unlabelled in any language. May therefore be more interesting with an enthusiastic guide. Worth a look. The adjacent forest may be a nice spot for a picnic.
Salammbo Tophet
A frustratingly unlabelled, but large collection of what appear to be children's grave stones. Many stones have simplistic symbols carved in to them. There are also a few half-buried structures. Guide or background reading recommended.
This historic Christian temple was surrounded by a vast cemetery. Rediscovered in 1915, it was oriented toward a spectacular ocean view which can still be enjoyed. The temple is thought to have been dedicated to the well being of seafarers. All of the valuable remains have been removed, leaving the site somewhat empty. On the plus side, it makes a good picnic spot and there's a chocolate and pastry store right nearby with a service station opposite for drinks. Located very far north relative to most of the Carthaginian ruin sites, this is a good option for the start of a long day's walking.