Taiwan is a great place to visit and it was a great place to live 30-40 years ago when I was there. While in Taipei, I would definitely visit the 101 Building which is one of the five tallest buildings in the world. A visit to Snake Alley in the Wanhua District would also be very interesting. While in the Taipei area, go up into the mountains of Yangmingshan and also experierence its hot sulphur spring baths. If you want to see some good scenery take the train to Hualien on the east coast and then take a bus across the island through Taroko Gorge to Taichung on the west coast. When going down south you should go take the train up to Alishan (Ali Mountain) to see the sunrise, and then go down to the second biggest city of Kaohsiung. There is a scenic lake outside of Kaohsiung Chengching Lake which is very spectacular. There are also aborigine people you can see in the mountains.