Unfortunately, there is no Michelin starred restaurant in Norwich, England yet. However, there are hundreds good restaurants from Italian food to authentic Japanese and Chinese cuisine. Personally, I would recommend Zizzi for pasta and resort, Hongkong Fusion for Chinese Dimsin, Shiki for sushi, Oasis for Indian curry, and RARE for steaks. If you fancy English pub food, Ruchcutter is a good place to try.
You can read the review about 382 Norwich restaurants here.