In 2022, Burnham Market was rated among the "20 most beautiful villages in the UK and Ireland" by Condé Nast Traveler in 2020.

Burnham Westgate Hall is a Grade II listed country house built in the 1780s by Sir John Soane for Thomas Pitt, 1st Baron Camelford.

[3] In 1933, the Hall passed to the Royal British Legion and after the Second World War it was used as an old people's home.

The village's national constituency is North West Norfolk which has been represented by the Conservative's James Wild MP since 2010.

Burnham Market's war memorial is a stone celtic cross located on the marketplace which has been Grade II listed since 2018.