Places that employ 14 year olds in the uk?

First of all make sure you are aware of the restriction on working at 14 in the UK https://www.gov.uk/child-employment/restrictions-on-child-employment then you are more likely to be able to target businesses who will/could employ you......places like small businesses, hair salons/dog groomer washing hair, sweeping up, newspaper/magazine delivery often the free ones employ 14 yr olds etc

there are not many places that can employ 14 year olds legally in the UK, check the website quoted by maxi and then think very carefully about what you can do and what is available in your area

None of them.

You need to be at least 15 to get a job there, and most stores only hire 16+ year olds.

NO where!
Unless your talking about a saturday job or a paper round.