I love the library here! It's amazing what English books they have, and if they don't have it you can just ask them to get the book into the library.
There are many, many branches of the public library around Taipei City.
Here is a way to search for books and get them delivered to your local branch.
1. Use library book search engine.
You can either choose just your branch or leave it to search all branches.
2. You will get a list of results like this (for Three Cups of Tea)
There are about 30 Engliish copies, 55 recordings, 50 Chinese translations, and a few young reader versions.
3. You can either just print this page out and take to the library front desk, or reserve the book online and have it sent to your closest branch.
On a family card, you can get 20 books out. You can also have an individual card, which gives you 5 books. You can keep them for a month, and renew them if nobody has reserved the books.