We have local council elections and we have just started to vote for police commissioner.
So although the MP in our area is Tory, the council is Lib Dem.
Local council get to set 'Council Tax' (for roads, street lightning, refuse, policing) but we don't get to vote on it. We vote for a councilor and that's it.
Income tax, VAT, inheritance tax, stamp duty etc. is set at national level by the party in power.
This has been an ongoing issue of over centralisation and there have been steps made to devolve power to local councils, but there is still a long way to go.
Each country in the union can chose what to spend the money they get from central government, but again the people do note vote on any of this.
We also have a stupid situation where councils will spunk money on crap just to use it up, so they don't lose any funding next time. Rather than being able to obtain money adhoc for needs as they arise, they get a budget, and anything not spent goes back to central government and likely to be deducted from the next amount given, so they spend it to ensure funding levels are maintained.