I transited at TPE so many times but I just got a chance to visit the city of Taipei at the beginning of this month. I flew with Tiger Air Taiwan which is quite cheap(4044Thai baht for a round trip ticket). In their magazine, Tiger air claims they are the most efficient low cost airline. One of the factor maybe they fly to so many japanese destinations.I arrived at Taoyuan international airport at Midnight. There was no question at the immigration desk and they just let me in.
There is a bus to town after midnight and it costs 140NT. There is an internet on the bus and also USB charge. The local people are super friendly. The first night I stayed at the capsule hotel and it was quite ok. I went to Chiangkaishek momerial hall the next day. The square is really big. The food is quite OK but I enjoy the Japanese food more here. The MRT train is very very cheap and so convenient. If you use Uber, It would cost you 240NT for 4kilometers or so,
The famous delicacy here is the pineapple cake which I believe is vegetarian. There are various local brands for facial masks.
If you bike, there are bikes station to rent everywhere. There are internet signal in the city everywhere, you really do not have to buy the simcard if you stay for the short time.
I really love the way they use traditional version of chinese writing here.
On the way back, I took the airport train back to Taoyuan. It costs only 160NT. I think I will go back to Taiwan again when my Chinese is improved. Then, it will be very much enjoyable.