Personally if you are a food person, you should go Danshui, Shilin. If you want to shop for clothes, you can try wu fen pu or if you feel rich, you can go Zhongxiao area. If you want to go for hotspring, you should go Beitou. I went to Martyr' Shrine to watch the guard changing ceremony too. As for Alishan, it is for the sunrise and to experience the antique train that reverses at certain parts of the route. The sunrise experience is pretty interesting if you have not seen 1. When I went there, the tour will tell you where the sun will rise from, at what time, when not to stare at the sun. At the same time, they will give you some glass panels for you to view the sun when it comes out. The effect is different when you look thru 1 glass panels vs 2 glass panels. Actually I didn't regret making the trip there though it is a long journey. If you are lucky, you will get to see "yun hai" (sea of cloud) as you travel up the mountain to see the sunrise. I went there in Nov 2007 and it is quite safe. Not sure when was the disaster which Noella has mentioned.