I would recommend a trip a hutong, probably Nanluoguxiang is the best bet! http://backpackerlee.wordpress.com/2...5/hutong-life/ It's very touristy nowadays, but if you've got little time available in the city, then its probably the easiest to get to, as it has its own Subway station now. Just cross the road, and you are there (but be warned, this road is very busy!).

I would also recommend the Lama Temple, the Fragrant Hills, Hou Hai, and maybe even Happy Valley Beijing - for a bit of fun