I visited the Britain at War Experience on 27/03/12 and was very disappointed. A steep admission price (something close to £12.95) for very little content and a near to bland experience. In my view, The Imperial War Museum (free admission) and the Churchill War Rooms (£16.50 adults) offer a much more interesting visit.
The museum is set in rooms below London Bridge station next to the London Dungeons attraction.
Within several rooms it presents life in wartime London and has a several mock-ups of different types of air-raid shelters with all the expected sound effects of bombs dropping in the background. It also has a mock up of a London street following an air raid.
In terms of a museum and the exhibits, I will admit it does a fair job with some interesting clothes, signs, toys and music that really evoke the time.
My main beef with this place is that it is well overpriced at nearly THIRTEEN pounds for an adult ticket. It takes about an hour to look around properly.
In addition, the Imperial War Museum (IWM) is only about a mile or so away (couple of stops on the tube) which presents the area in far more imaginative way, in more depth - and that is FREE !
It seems to me to be a somewhat cynical attempt to cash in on the tourist crowd visting nearby attractions or those who are too short of time to seek out the IWM.
And as for bringing in Winnie (as in Churchill, not the jowly insurance hound) - it just smacks of overt commercialisation of what were dramatic events that are still painful in the memory for many.
Fun Alternatives: see above - the Imperial War Museum
On April 2010 my wife and I visited the "Winston Churchil's Britain at War Experience Exhibit (or Museum). The entrance fee is about 12-14 punds and is located at 64 - 66 Tooley Street, London Bridge, London SE1 2TF, and we were strongly disapointed. .
This place is just not worth your time or entrance fee. It is basically an old warehouse arranged to display some old war-time items collected or donated by individuals. The exhibits are rather poor, limited, dark, and with no real organization. Even the shop is just trash. The bottom line is to just stay away from this place.
Unique Suggestions: The only significant information you could obtain in this place is watching a (commercially available) documentary that is constantly shown in a very old, crowded, and stuffy room.
Fun Alternatives: In order to appreciate the War experience in London, you would do much better visiting the Imperial War Museum (free entrance), or the War Cabinet Rooms.