Looking for British comedy series about a alcoholic rockstar his bimbo wife stupid sun and butler?

The British comedy series you are referring to is called "The Young Ones", which aired on BBC Two from 1982 to 1984. It starred Adrian Edmondson as Vyvyan Basterd, Rik Mayall as Rick, Nigel Planer as Neil and Christopher Ryan as Mike, four students who live in a shared house. The show follows their antics and adventures as they navigate student life, often getting into trouble and creating chaos. The characters you mentioned, the alcoholic rockstar, his bimbo wife, stupid son, and butler, do not appear in "The Young Ones."