The oldest museum in Taiwan (est 1908) is a surprise even on the outside – it has a classical-style Greek-temple façade and Pantheon-like vaulted ceiling. Inside is a Renaissance-style hall and – as you'd expect – thousands of exhibits. History buffs rejoice!
Going to Taipei and not visiting at least one night market is like... going to Rome and not seeing the Pope (as the saying goes). It's easy to make time for this, even if you're in town on business. And once all that delicious food makes you sleepy... hello, comfy citizenM bed and fluffy pillows!