I didn't mean to imply that council tax is the same as American property tax. I just think of it as the equivalent. It is, after all, a tax based on the value of the property in which one lives. Everyone does not pay the same amount and those with limited incomes are given discounts and sometimes, do not have to pay at all (in the more severe cases). There are also discounts for uninhabited properties, etc.
I wouldn't say that council tax is a tax we must pay for merely existing. It's a tax we pay in exchange for council services. As much as we all hate to pay tax, we do enjoy the services that come along with it. I love going to the local library, and I really enjoy the fact that the council comes and takes our rubbish and recycling. I like being able to walk down streets that aren't covered in empty crisp packets and I like knowing that there is a local police force I can call if I ever need assistance. You get what you pay for (ususally). ;-)
Anyhoo, I'm glad you've decided to do the right thing. It'll save you some worrying! :-)