Just behind the Alcazar is the sixteenth century Hospital of Santa Cruz. As the name implies, it was originally built as a hospital, and a very pretty one at that. At the time medical theory held that the environment surrounding a patient was as important as the medical treatment being prescribed. That was probably true then, since medical treatment was pretty similar to exorcisms. It's now a museum, with no particular focus, but very interesting nonetheless. It's probably got the best collection of El Greco paintings in Toledo (probably Spain's most famous painter, who lived in Toledo). But it's also got a very good ceramics collection and lots of bits and pieces of Toledo culture, well worth a visit.