There are 41 flights connecting Amsterdam and Taipei every week, with the journey taking 16 hrs 30 mins on average.
Or, if you're fairly flexible on dates, try to get a last minute-deal by regularly checking the Netflights website.
In Taipei, Taipei Taiwan Taoyuan International (Chiang Kai Shek International) Airport (TPE) is usually the cheapest airport to fly to, but there are one airports to choose from. Not sure who to fly with? Cathay Pacific, China Southern Airlines and Air France are the most popular airlines available from Amsterdam.
If you can’t find flights that suit you, consider flying to a another part of Taiwan.