You'll enjoy the museums and cafes in Taitung City Centre. You might want to make time for a stop at Taitung Night Market or Tiehuacun.
Zhiben is well-liked for its hot springs. You can also take some time to explore sights in the surrounding area like Jhiben Hot Spring and National Museum of Prehistory.
Xianglan might not have many top sights, but Millennium Dawn Memorial Park and Taimali Sakuragi Railroad Crossing are two attractions nearby that you can check out.
If you're spending some time in Dongxing, Mount Chihonshu is a top sight worth visiting.