There are several quiz shows on BBC Radio 4 that fit the description:
- Round Britain Quiz - A cryptic and challenging quiz with wide-ranging knowledge, featuring cryptic questions and team competitions from different UK regions.
- Brain of Britain - A classic general knowledge quiz where competitors vie for the title of Brain of Britain.
- Counterpoint - A music quiz with questions on music of all varieties and eras, hosted by Paul Gambaccini.
- Paul Sinha's Perfect Pub Quiz - A quiz show where comedian Paul Sinha presents favorite quiz questions from his audience, with facts, jokes, and stories.
- The News Quiz - A topical panel quiz show based on the week's news stories, hosted by Andy Zaltzman.
- The 3rd Degree - A quiz where three university students compete against three professors, hosted by Steve Punt.
These shows are intelligent and challenging quizzes broadcast on BBC Radio 4, each with unique formats and themes. If looking for a single "4 quiz show" specific to Radio 4 quizzes, Round Britain Quiz, Brain of Britain, Counterpoint, and The News Quiz are among the most notable. Would more detailed descriptions or specific episodes be helpful?