Budgens is a chain of supermarkets in the United Kingdom that offers a variety of groceries, fresh produce, and household items. It was founded in 1872 by John Budgen and is now owned by the Musgrave Group, with locations throughout England and Wales.
It's likely that the typeface featured in the Budgens logo is ITC American Typewriter Medium, which was created by Joel Kaden and Tony Stan. More information about the font is available here.