How far are you willing to travel from Stoke?
Big blue chips nearby would be:-
Michelin
Rolls Royce
Barclays
Astra Zeneca
to name a small few, but there's the Brittania building society in Stoke itself, Mcr Airport not too far away so plenty of businesses up there, try EDS for Rolls Royce, have a look on Jobserve and look for local agencies would be my first choice... good luck