Iamsix
There are lots of gorgeous villages near BSE- I love Risby with its spacious village green, little primary and great Farmers market; Walsham Le Willows with its own butchers, pubs and a great village social life; Pakenham with a working windmill that makes amazing flour; Horringer has Ickworth Park, a few pubs and some really picturesque old houses and it is close to town; Whepstead, Chevington and Chedburgh are well thought of too.
Great Barton and Thurston are larger villages- Thurston has a primary and high (Upper) school, a butchers and general store, very active social calendar and several pubs. It is also on the main train Ipswich- Bury- Cambridge line with its own little station.
Elsmwell is on the same train line- it has pretty parts and some larger housing estates that threaten to subsume the character in parts. But we need housing.
Cockfield is the largest English parish I believe and lies between Sicklesmere and Lavenham. You will need a car to get about although parts of it are covered by the main Sudbury-Bury to Colchester bus route. Lavenham is ten miles away but feeds the Sudbury school system in the main although some pupils do attend Bury schools.
Great Welnetham near Bury off the Bury-Sudbury road is a small etiolated village, mainly houses and not a lot of shops.
So many gorgeous villages around BSE - how does one choose?