In the US, property tax typically works that way for many people. You get something in the mail that says this is what your tax will be. If you happen to have a loan for your house, the bank in charge of your loan handles it.

The only opposing political argument I've heard is that if income taxes were this simple, many people would be overpaying. I think that argument has many obvious flaws. Unfortunately few US citizens demand anything of their politicians on this topic or other topics that would dramatically improve their lives. Instead they care more about vanity topics that don't even effect them.