I suggest this place for anyone who's in the Beijing area. Without having to go to the opposite end of China, there are plenty of lesser-known places no on the typical tourist trail, but well worth visiting. The Hengshan Hanging Temples are one of those places.
It's located in the outskirts of Datong, which is not a really notable city. In fact, it was probably the least-interesting city in visited in China. But the Hanging Temples and the Yuggang grottoes more than justify the visit. To get there, you can go to one of the small towns in the area and just take a taxi, or you can go on one of the day-trips organized by CTIS in Datong, which also includes the grottoes. It just depends on your taste for adventure!