Quote:
"The types of firms most likely to be involved in these activities include:
banks and building societies
investment firms
credit unions
mortgage and other home finance providers and brokers
insurers and insurance brokers
stockbrokers, asset managers and financial advisers"
Source:
http://www.fca.org.uk/firms/systems-reporting/register/search/financial-services-firms
Such firms were previously regulated by the FSA. However the FCA now regulates consumer credit firms as well (which were previously under the Office of Fair Trading).
Quote:
"This includes firms providing personal loans, credit card issuers, credit brokers, payday loan companies, pawnbrokers, businesses offering hire purchase agreements, log book lenders, peer to peer lenders, and debt management and collection firms"
Source:
http://www.fca.org.uk/firms/systems-reporting/consumer-credit-register
So, combining the two quotes should provide you with a list of all relevant activities.