Taipei: Shilin Night Market 士林夜市

The largest and most famous one in Taipei. The night market is close to Jiantan Station on the Danshui Line (confusingly,     Shilin Station is located farther away). 

Location: Chung Shan North Road, Section 4 , Shihlin , Taipei, Taiwan
Phone - +886 2 2349 1635 (Tourism Bureau)

Open: 4pm – 1 or 2 am
Transportation: MRT ->>Jiantan st. 
Admission: Free

Some of the best known night market snacks are:

OYSTER OMELET

STINKY TOFU

MANGO ICE

PEARL MILK TEA

etc.