That's definitely high for the situation you describe.
But there's so many variables (usage, tariff, insulation, type of heating etc) that even if a load of your neighbours posted, it wouldn't give you a definitive answer.
What's the fix - is it at/around the price cap rates or is it a lot higher, which would explain the high utility bills but not water.
One thing I'm wondering is if you're paying for the whole property and not just your flat - it sounds like someone has converted the basement into a separate dwelling in the building? How many other households are there and what size are they? Have you seen the meters? Also, how long have you lived there and if you've lived there more than a year, is it just last year the bills were high (obviously accounting for increases in prices over the last couple of years).
You say the bills are based on meter readings but were they just for 1 year, ie not catching up after previous underestimates.
Basically, you need to go through your bills systematically, check they are indeed correct in terms of your usage (and only yours), that you're not on a silly high fix and if they are right, see if you can do anything to save energy and reduce your bills.
Your water is also very high. Is that rates or a meter? Again, do you know it's just for your flat and not other households too? Do you have any historical usage to compare? Your water company website should have a calculator where you can estimate what your metered supply should cost - it might be presented as whether swapping from rates to a meter will be cheaper - you can enter information about how many showers, loads of washing etc you do and what the cost will be. You're not a 'wash everything after one wear/use and 2 or 3 showers a day each' household are you?
Also, have a look on Moneysaving Expert for energy saving advice and pointers about checking if your bill is right.
https://www.moneysavingexpert.com/utilities/