Umm...  Guangzhou has a goat statue that is pretty famous.  Other than that....  Nope.  Nothing.

Close from Shanghai, you can give Suzhou a go. It's 30 minutes from Shanghai by train. Walk around Jinli Lake in a sunny afternoon/evening (it's enough to be busy for several hours), enjoy the old town and the old gardens. Many areas are pretty neat. You can spend 2 or 3 days like that.

Yunnan Province - allow time for traveling to Xianggelila, Lijiang, Dali, Xishuangbanna and perhaps Shilin (though Kunming's a bit dodgy these days).

I want to see Zhangjiajie National forest park, it was the model for the movie Avatar.

Guilin is a nice city, see the Princes City, a smaller version of Forbidden City (sort of). You can take a river tour down the Li river from there, but do it on a powered bamboo raft. I think the real price is 200. Yantze river has tours, but I think they cost more. After the Li River you can see Yanghou, a touriist town. There is the impressionist Sanji Lui show on a lake there, supposed to be the biggest production in the world. You can take day trips from Yangshou, rent a motorscooter or bicycle and see rural China. If you are alone I recommend hiring a guide. Dont bother seeing Shangra La, a modern tourist trap, Most parks, caves etc charge admission, I'd skip them.

Hmmm... 

Hangzhou, Suzhou, Guilin - for natural beauty

Sanya, Xiamen - for beaches

Hong Kong, Macau - for entertainment (sort of like Shanghai but more fun)

Xian, Chengdu, Zhengzhou, Nanjing - for historical purposes