There are many examples of things in Taiwan accepted by society in general that make me cringe or feel embarrassed about about or induce even stronger feelings.
The thing about the Taiwanese though that I think makes Taiwan very different from many other places is their agility and willingness to adapt. I believe the most rapidly changing attitudes come due to commercial and business links - Taiwan is completely dependent on its export market.
Attitudes such as racism as sexism ARE changing in Taiwan, but there is an incredibly strong cultural influence that may impede that, but I think it's mostly coming from a healthy interaction with other countries that have established those ideas or enshrined them in their own laws.
There is a small, but growing groundswell of appreciation for all kinds of humanitarian rights based on gender, culture, race and other subjects but these things do take time. Shaping other peoples culture and attitudes is a very sensitive topic.