Taiwan in detail
Cinemas are very affordable in Taiwan and are likely to be showing at least a couple of Western titles. Check local newspapers for screenings.
International performers are regularly hosted at Taipei's National Theatre & Concert Hall or the Taipei Arena.
The tourism bureau's website (http://eng.taiwan.net.tw/) has event listings; live pop and folk music is particularly popular.
In the south, you may catch an impromptu roadside puppet show.