I am looking for a Radio 4 comedy show that I definitely remember listening to in 2008 and also 2010/11. It included many political sketches such as Peter Mandelson and Robert Mugabe having the same life coach, William Hague phoning round the shadow cabinet to find someone to be in his house while someone came to repair his washing machine, the Arctic monkeys stopping their rehearsal to listen to Woman's Hour, Vince Cable spending the evening in a disabled constituents home while Nick Clegg was trying to get hold of him, and much more... Anyone know what I'm talking about?

No idea, but it sounds good

The Secret World?
The World According to Craig Brown?
Was Jon Culshaw/Jan Ravens in it?

YES! I think it is The Secret World. It happens to be available now on BBC Sounds and I just listened to a bit of it. Haven't yet recognized anything I remember but sounds exactly right!! Thanks a lot!