[claudiulodro]

While not a whole state, there are municipalities with no property tax e.g. Thorne Bay in Alaska:

> Thorne Bay is a Second-Class City within an unorganized borough on Prince of Wales Island.

> Thorne Bay does NOT LEVY PROPERTY TAXES.

> https://thornebay-ak.gov/land/

You get what you pay for as far as services are concerned though.