A lot around zhong xiao area.
THere is also one called Room18 in basement of shopping center
Neo19, which is opened by a taiwanese celebrity tuo zong kang;. You
can also try there if you like. May see other celebrities
too.
Other than that is Plush and Luxy. Remember to bring along your
passport. Foreigners may get some privilege such as cheaper drinks
etc and there are nights for foreigners...
www.room18.com.tw
www.luxy-taipei.com
www.plush.com.tw
my taiwanese friend also introduced me http://www.taiwannights.com/
which will show most of the latest clubbing scenes/parties.