London Undergound has a system of licensed buskers that operate in designated pitches at stations across London. According to the LU website http://tube.tfl.gov.uk/ there are 602 licensed buskers of which 58% are guitarists, 10% violinists, 10% flute or harmonica, 9% saxophone, 6% accordion or keyboard and 2% didgeridoo. The remaining players are banjo, double bass, french horn, harp, tin whistle, bagpipes and a 'human beatbox'(?!).
I use Kings Cross most days of the week and have seen a melodeon player and a PA player who, I swear, was miming to a recording of an irish jig (Drowsy Maggie, I believe). There was also a very annoying twelve year old who used to get on and of the trains and play (badly) a twelve bass PA.
I have yet to see a concertina player.