Taipei 101 is a good time killer. World's fastest elevator ride.
If you are really bored and want to get rid of your appetite go to snake alley. The hotel can give you directions for the cab, they do not want any pictures taken, probably to prevent their version of PETA from cracking down ! It is fun watching the selling tactics, I wish I could have understood what the salesman were claiming could happen if you drink the local drink.