I recently traveled to the city of Xiamen in Fujian Province, one of the four original Special Economic Zones. Just as Shenzhen was built up to foster investment from overseas Chinese people (and Zhuhai ala Macau as well), Xiamen was propped in relation to Taiwan.
Although Taiwan is relatively a bit far away, there is the nearby island of Kinmen which is administrated by the ROC government of Taiwan. A small town only thirty minutes away by ferry, it is a nice and charming place to visit and really feels different from mainland China.
Here are some rare Taiwanese Chinglishes, and various other funny pictures:
Note the complex traditional characters 繁體字