I did an interview there recently. I would say, roughly speaking, there are three types of international schools in Taiwan.
At the top tier, you have TAS and TES, and perhaps KAS in Kaohsiung (I don't know it). They charge high fees and recruit the best teachers they can get internationally. They offer pretty standard IB/American/European education - the equivalent of the famous international schools around the world.
Then you have a whole lot of schools which are private or church-run, which don't charge as much as the big schools and don't pay their teachers as much either, but do an honest job of educating students with what they have. They pay as well as they can considering the lower fees and smaller class sizes, and generally keep teachers for their contracts, some a little longer, and have some long-timers who are settled in Taiwan (usually married to Taiwanese). These schools mostly recruit qualified teachers, but some may struggle to find them, especially outside of Taipei, since they can't compete with other international school packages for teachers willing to relocate for the right job. While their packages aren't up with TAS and TES (whose packages include generous housing allowances etc) these second-tier schools pay significantly higher than buxibans and offer much better conditions (such as paid vacations).
The third tier of schools are privately owned by wealthy Taiwanese businesspeople, who know or care little about education. They generally charge fees comparable to 'real' international schools and pay their teachers buxiban rates, pocketing a size-able difference. These schools are run as buxibans, not international schools. They have little if any curriculum and it's all about keeping up appearances for the naive, trusting parents. They essentially exploit the excess demand for English-language education by parents who want to send their kids to universities overseas but can't get into TES or TAS, and don't know the difference between these and the second-tier schools. They may attract some qualified teachers who are currently teaching English, and then use them as a stepping stone to get into international education, but they can't possibly attract experienced international educators, and teachers only stay on if they are settled here (and haven't yet found their way into a second-tier school).
I only visited for an hour or so, but my impression was that Taoyuan American School fits into the third category. If you are a qualified teacher teaching English it might be worth checking out, but I wouldn't recommend it to experienced international school teachers, nor to anyone considering coming from overseas.
Since these forum messages tend to stick around a while, I should note that it is possible for a school over time to move from the third to the second tier if it gets good management. And vice versa of course