One of the best places to get quarterly curated exhibitions of contemporary Chinese artists, located smacked in the city in Sanlitun District. One of my favourite shows to date is Wang Shugang's rendition of Franciscan monks - don't they look like cult Jedis? In the background stands a specially commissioned Christmas tree by up and coming Chinese artist Li Ting Ting. (something they do annually, commission one off pieces).
Even if you don't stay - which is an amazing hotel by the way, come by and watch the exhibition or have a cocktail or two at Mesh.