Most foreign visitors go to 故宮(National Palace Museum), 中正紀念堂(Chiang Kai-shek Memorial Hall) and 台北101(Taipei 101). It is also recommended to go to 士林夜市(Shilin night market) where you can have all kinds of snacks. If you prefer being close to Nature, go to 陽明山 (Yangmingshan National Park). You may also visit 龍山寺 or 行天宮(most famous temples in Taipei) if you are interested in traditional religious buildings. Citizens in Taipei also like to visit places in more suburb areas like 九份(a fascinating mountain village, must try some delicious 芋圓 if you go) and 淡水(a riverside town). If you are going shopping in Taipei, of course there are many shops, but those shops are quite similar as you may see in other big cities in the world. Therefore I would recommend you to have a food guide in hand and visit some local restaurants. Wish you a pleasant trip in Taipei!

You can go to visit ShiLin Night Market. My high school near this place. You can find interesting things, tasty food or cheap clothes there. You also can go to visit Taipei 101. : ) http://eng.taiwan.net.tw/lan/Cht/search/index.asp This web page maybe can help you more. ^^ By the way, National Chiang Kai-shek Memorial Hall is also a good place to go. Wish you'll have fun. ;-)