In Beijing at least 4 days to do everything. 
  
In Xi'an at least 3 days - Terracottas, cycle the wall, big wild goose pagoda area, Hanyangling museum was interesting, bell/drum towers etc. I also took a day trip to see Pandas which was worth it as I wasn't going to Chengdu/Sichuan province. 
  
Guilin/Yangshuo is also a picturesque place to go. 
  
I've heard nothing but good things about Chengdu (food, scenery, pandas, earthquake memorial).
		 
		
		
		
		
		
		
		
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