Kuwait is small enough that everything is within day-trip range of the capital.
Failaka Island -- A ferry ride from Ras Salmiya takes you to this historically rich island with Greek ruins, a Bronze Age settlement, and the haunting abandoned village from the Iraqi occupation. Pack a lunch and allow a full day. Check ferry schedules with the Kuwait Public Transport Company.
Green Island -- An artificial island connected to the Kuwait City waterfront by a causeway. Swimming pool, amphitheatre, restaurants, and gardens. Good for a half day, especially with children.
Ahmadi -- Kuwait's oil town, about 40 km south. Tree-lined avenues and a surprisingly pleasant atmosphere. The Oil Display Centre is worth a visit for understanding the industry that built the country.
Fahaheel -- A coastal town south of Kuwait City, near the fish market. Good for traditional rug shopping, handicrafts, and seafood. The Al-Kout Mall here has a beautiful dancing fountain.
Dhow Harbour (Al-Ard) -- Visit the traditional dhow harbour to watch fishermen bring in their daily catch. The traditional sailing vessels are beautiful, and the Fateh El-Kheir dhow is open for tours. A window into Kuwait's maritime heritage before oil changed everything.
Desert camping -- In the cooler months, Kuwaitis head to the desert for camping, barbecues, and relaxation. The area northwest of Kuwait City, toward Al Jahra, is popular. Some tour operators can arrange desert excursions for visitors.