A photo I took last year in Danshui has been published in the June 2008 edition of Sky Couch, the inflight magazine of China Airlines (中華航空). The photo accompanies a trilingual (English, Chinese and Japanese) story titled "Scenic cycling".
The article by Rick Charette notes, "there were less than 100km of designated bike routes on the island in 1997, rising to 1,215km in 2006. By 2010 the government plans to have 2,600km." The article details five great routes to ride. They are Taipei outskirts, Yangmingshan, the east coast, north coast and outer islands.