www.google.com
key words - taiwan theme park roller coaster
central Taipei? or outskirts of Taipei which is New Taipei City?
Central of Taipei will be the usual TMS and Ximen.
http://wikitravel.org/en/Taipei - scroll right to the bottom
Keelung, a harbor city in north of Taipei, is full of delicious foods and historic sites. For more information, please visit Keelung Tourism Service Information Website .
Tamsui, an old port town northwest of Taipei, is the main scene of the Taiwanese movie - Secret by Jay Chou. It's very popular with tourists.
Fulong is in the eastern coast of Taipei County. There you will find a coastal town with an excellent beach. Every July, don't forget to attend the three day Ho-hai-yan Rock Festival.
Yingge is famous for its high concentration of potters and ceramic makers.
Taroko Gorge – Here, the Liwu River cuts through 3,000-foot marble cliffs. The area around the gorge is also identified as Taroko Gorge National Park.
Hsinchu is a city with an old heritage and modern science park.
Shei-pa National Park spans mountains and rivers and is in Hsinchu County has great hiking trails.
Sun Moon Lake in Nantou County is a crystal clear lake embedded into lush mountains.