Taipei is the easiest place in Taiwan to fall for. In a single afternoon you can climb a forested ridge above the city, drink tea in a century-old merchant street, eat your way through a night market and end the evening in a rooftop bar with Taipei 101 glowing above you.
The city rewards slow travel. Its neighbourhoods have distinct personalities — historic Dadaocheng, student-filled Da’an, glossy Xinyi — and the MRT makes hopping between them effortless. Give yourself at least two full days, then use Taipei as a base for day trips to Jiufen, Shifen and the north coast.
Taipei is the kind of city that works equally well for a 24-hour layover and a week-long stay. The metro is clean and cheap, English signage is everywhere, and the food is outstanding at every price point.
Use the city as your northern base: Jiufen and Shifen are an easy day trip, and the high-speed rail puts Taichung within an hour.