Zoning in the American sense doesn't exist in the UK, outside of Local Development Orders and (maybe, if you squint a bit) the system of Brownfield Land Registers.

Outside those very limited exceptions, planning in the UK is done on a discretionary basis, and both the discretionary system and the LDOs are overseen by Local Planning Authorities made up of elected local councillors.

There's no central planning authority, and the system is designed to be flexible at the cost of providing less certainty to developers. Mixed use developments are the norm here, and most new residential blocks will have some form of commercial or social space on the ground floor.