Nara's Kofukuji Temple: Old and Beautiful
The main building, the Central Golden Hall, is being reconstructed, but it won't be completed until 2018. Kofukuji is certainly still worth a stop.
Nara is a very important cultural location, and Kofukuji might be the most important site in town. Nara itself is just a short train ride from Kyoto (about 45 minutes by Kintetsu Railways) or Osaka (about 30 minutes by Kintetsu Railways). You save a few minutes using Limited Express trains but I don't think they're worth the extra charge over the regular express service.
Kofukuji is the first important destination you'll reach when walking east from the Kintetsu Nara Station - about five minutes away. The museum and Eastern Golden Hall are open daily 9:00-17:00, though the grounds are open 24 hours a day. Admission for the museum is 600 yen, the hall is 300 yen, and a combination ticket for both is 800 yen.