Nearby Post Offices: Taftville 72 S B St 1.9 miles away. Rose City Carrier Annex 292 Salem Turnpike 2.4 miles away. Uncasville 1587 Norwich New London Turnpike 2.6 miles away. Versailles 35 Main St Ste 2 3.2 miles away. Norwich, CT 06360 The Norwich Post Office is located in the state of Connecticut within New London County. This location serves 37,541 Norwich residents with a median income of $51,588. It's estimated that approximately 59,920 packages pass through this post office each year. Apple apps mac app store. Is a ZIP Code 5 Plus 4 number of PO BOX 381 (From 381 To 504), NORWICH, VT, USA. Below is detail information. 2019-20 Premier League Matchday Experiences at Carrow Road - The Birthday Box. Futura light font free download mac.