Varied on prices, I recommend 三井(San-Gin) Japanese restaurant, price range set between NT.1600 to 2500.
The Diner is a popular American burger restaurant.
Price range set between NT.200 to 600.
http://www.the diner.com.tw/ about 9 years ago
First of all, I am Taiwanese and I am SO HAPPY to hear that you're coming to Taiwan : )
1. For the burger place, I recommend "Bravo Burger". (I found a blog introducing it for you: http://araiyui.idv.tw/archives/4183)
2. There are so many Japanese restaurants in Taipei so it really depends on what kind of Japanese food you like. But I really like this one: http://www.wretch.cc/blog/o961117735/250464.
Hope above information helps and enjoy your trip in Taiwan!! almost 9 years ago