The first series (or 'gallery' as the series are known) featured Bill Bailey as the curator and provider of the museum's musical needs. Guests included Brian Blessed, Arthur Smith, Alan Davies, Jonathan Miller, mathematician Marcus du Sautoy, and anchorite (hermit) Martha Reeves. Exhibits in this gallery include The Battle of Waterloo, nothingness, and the modern scarf knot.
Sean Lock took over duties as curator for Gallery Two, after Bill Bailey was supposedly "head-hunted by the Pencil Museum in Cumbria". Members of the steering committee included Chris Addison, Chris Donald, Tim Minchin, journalist Kate Aide, physicist Simon Singh, and biologist Rupert Sheldrake. Donations featured include the largest volcano in Iceland, a sheep rolling over a cattle grid, and Matt Ridley's desk Toblerone.
Gallery Three was curated by Jon Richardson, who got the job after making Sean Lock go on a hunt for a mustard cress seed in the nothingness exhibition. Guests appearing included Kevin Eldon, Sarah Millican, Ronni Ancona, novelist Neil Gaiman, Madness frontman Suggs, and explorer Sir Robin Hanbury-Tenison. Exhibits donated include the Omega Point, a gay bomb, and International Ignorance Day.
The fourth gallery was curated by Dave Gorman. This time the members of the steering committee include Natalie Haynes, Robin Ince, Graham Linehan, atheist theologian Francesca Stavrakopoulou, philosophical filmmaker and TV presenter Alain de Botton, and former First Sea Lord Alan West. Donations presented for this gallery include God, the essential trifle and a single Shreddie filmed at an angle of 45°.
Jimmy Carr joined John Lloyd for the 2012 series. Guests include Astronomer, Dr Stuart Clark; plant-hunter and former hostage, Tom Hart Dyke; physicist and broadcaster, Dr Helen Czerski; Expert on Ancient Mesopotamia, Dr Irving Finkel; magician/actor/comedian, Andy Nyman; and comedians including Jo Brand and Humphrey Ker.