Blackpool

[A] touches cheek with palm side and moves to and fro while the knuckles maintain contact with the cheek.¹ (< BLACK.)

Brighton

[5], PO > signer, is shaken up and down with a twisting movement at the wrist.¹

Carlisle

[V], FO > NDS, touches ND arm with FT and hops up the arm in small jumps.¹

Doncaster

[C] touches FTs to NDS shoulder, then DS hip.² (< the sash commonly used by jockeys. Doncaster has a famous racecourse where England's oldest race is run: The Doncaster St Leger.)

Exetor (also Leeds)

(2h)[bC], POs down, FOs away, move down and return 2x.¹

Hartlepool

[B], PO away, FO up, brushes against cheek while moving forward 2x.¹

Leeds (also Exetor)

(2h)[bC], POs down, FOs away, move down and return 2x.¹

Liverpool

[L], PO > NDS, FO away, twists slightly at wrist.¹

London

[1^], PO down, FO > signer, circles ear.¹ (< similar to NOISY.) For an animated gif of this sign, see BritishSignLanguage.com - London.

Midlands (central counties)

[open 8] taps NDH [B], PO up, 2x.¹ (< CENTER.)

Newcastle

(2h)[H:] or (2h)[V:], POs ><, FOs up diagonally, move diagonally upwards and towards each other while fingers wiggle together.¹ (< CASTLE.)

Peterborough

[1], PO down, FO > NDS, makes small circles just below nose.¹ (< SNOBBY.)

Preston

[V], PO > signer, FO > NDS, taps middle finger just below DS eye 2x.¹

Wolfhampton (Wolverhampton?)

[5], PO > signer, FO up, is held very close to nose, then moves away while closing to a [O^] and head moves forward.¹ (< WOLF.)

1. Brien, D. (ed.) (1992). Dictionary of British Sign Language/English. London: Faber and Faber.
2. From http://www.bjorkasen.vgs.no/bcd/bcd1-99/Signs.html (Some British signs), which is not longer extant.