Bicester (/ˈbɪstə/ BIS-tər) is a town and civil parish in the Cherwell district of northeastern Oxfordshire in England.This historic market centre is one of the fastest growing towns in Oxfordshire.y the end of the 13th century Bicester was the centre of a deanery of 33 churches. It is unclear when St Edburg's Church was rebuilt in stone, but the 12th century church seems to have had an aisleless cruciform plan.