Cuenca is known for its hanging houses, which perch precariously on high cliffs overlooking a river, and for its many modern-art museums—including the Spanish Abstract Art Museum. Set inside one of the hanging houses, this magnificent museum displays works of Spanish abstract artists and sculptors, Gothic murals, and other items. The city is also a good place to shop for ceramics. Plan three hours in Cuenca. 100 mi/160 km east of Madrid.