Keep an eye out at Dihua Market — you're bound to come across some treasure or trinket among the stalls here. After you've found the perfect souvenir, grab a bite to eat from one of the nearby food vendors.
This community marketplace in Datong comes recommended by many travelers, so leave a spot for it on your travel itinerary. Don't think the sightseeing ends there, however. There are many more places ready for you to experience after Dihua Market. Taipei 101, National Palace Museum, and National Taiwan Democracy Memorial Hall are nearby.