There are two direct and indirect flights connecting Exeter and Taipei every week, with the journey taking 25 hrs 10 mins on average.
China Airlines are the most popular airlines for flying from Exeter to Taipei. Adjust your search options to look by month, and see how much you could save if you fly during low season.
Taipei actually has one airports to choose from – but Taipei Taiwan Taoyuan International (Chiang Kai Shek International) Airport (TPE) is the usually the cheapest option. If you need to fly into a specific airport, adjust your search to focus on those flights. The most popular airlines include China Airlines.
But if you can't find one which is right for you, try looking at flights to other cities in Taiwan to check out some other options.