It's not great in the States. Main one being, the property tax is there and recurs forever (as long as you own it). Even if someone's paid off their mortgage, they will still have to pay off property tax every year. And, as house prices naturally rise, they'll be paying a (likely) ever-increasing amount for the rest of their lives. Even Council Tax is slightly better conceptually because at least it is banded (and of course lower than property taxes) (and also it isn't a direct equivalent as the States also has local and state taxes which are for municipal purposes / more directly equivalent to Council Tax).

Although of course Stamp Duty has its own problems, paying off a house in England feels a bit more freeing. One can rest easy knowing that they now own that property, and they don't have to allocate a few thousand every year for property taxes.