I have a high recommendation for a driver around Taiwan... Mr. Huang.
I have just returned from a 8 day holiday in Taiwan. For 6 of those days we used a fantastic driver - Mr. Huang.(who has a 7 seater car) to take us around the island (we were 5 passengers from Australia). He is reliable (always was there to pick us up as planned, he even loaned us a mobile so we could call him when we were ready to move on) and has full integrity. His English is basic, but he uses a translator which is effective. I highly recommend him and he can be contacted on +886-937090903 or email@example.com. We had planned to hire a car and drive ourselves and am so glad we didn't as we were exhausted each day and actually saved a lot of money using his local experience instead.