There are 27 direct and indirect flights connecting Amsterdam and Taipei every week, with the journey taking 19 hrs 20 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? Air France, Cathay Pacific & Qatar Airways 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.