Norwich is famous for it's many churches (and pubs!). But places of worship are always interesting to visit....
http://www.ukunitarians.org.uk/norwich/whatson.htm
http://www.muslimsofnorwich.org.uk/
http://www.norwichsynagogue.org.uk/
http://www.quaker.org.uk/norwich
http://www.norwichbuddhistcentre.com/