The main attraction in Xindian (新店; Xīndiàn), a sprawling largely residential district in the southwestern corner of New Taipei City, is Bitan (碧潭; Bìtán; Green Lake), a stretch of dammed river famous since the Japanese era for its grey-green waters and rocky cliffs. There is something tender, lush and romantic about the landscape here.
Bitan sits right across from the Xindian MRT station as you exit (head left). A pleasant wooden walkway hugs the lake. There's a cycling path that links to Taipei city, bird-shaped pedal boats, hiking trails leading into the misty hills, and the impressive Bitan Suspension Bridge.
Slightly further afield is the National Human Rights Museum that is well worth a visit if you are interested in Taiwan's recent history.