Continuing to look at the airlines of Taiwan, here is straightforward route map of the Republic of China's secondary carrier, EVA Air, in its signature evergreen. From Taoyuan, long haul operations spread east and west, to Europe and North America; EVA was one of the earliest Asian carriers to land at Seattle and has long served Vancouver as well. (Houston has since been added).
Amsterdam and Vienna are interesting European destinations, and are still served in an unusual routing via a minihub Bangkok—only Paris is served direct from the home airport. Other notable destinations include the sole antipodean city of Brisbane, and a number of secondary cities in Japan such as Fukuoka, as well as the Osaka—Los Angeles supplementing its direct service from Taipei.
Notably absent from the map is any Mainland China service; EVA Air now flies to 17 cities in the PRC.