Good news!! The Taiwanese government has set up an adoption reunion service! I just met one of the social workers yesterday to learn about their services. The office has 3 social workers.
How to request a search:
You can fill in an application form to request a search and send it to them. The form is available on their web site. Or you can just send them a letter, even if it is not in Chinese. They will then conduct the search for your birth parents and then act as go-betweens between you and your birth parents. For adoptees whom they've helped in their search, they can also assist with you meeting your birth family (eg. accompanying you during the first meeting). Unfortunately, they can not offer this meeting service for people who have found their birth family by themselves.
They also offer counselling referrals.
Don't worry if you can't speak Chinese. They speak some English! Here's their English web site.
Child and Juvenile Adoption Information Center