Please be aware that Taipei and Bangkok has multiple airports and that these results are for all airports serving the city.
The best month to fly between Taipei and Bangkok is August and the most expensive month to fly is September. (Average prices, based on 620 datapoints.)
The cheapest airline flying from Taipei to Bangkok is Thai Lion Air. They are 70% cheaper than Thai Airways. (Average prices, based on 629 datapoints.)
The best time to fly is at around 10. (Average prices, based on 719 datapoints.)