That's absolutely insane. So we get oligarchs and tyrants buying up property in NYC to launder their ill gotten gains and paying little to no property tax on it!

Oligarchs and tyrants buy condos in the sky more than brownstones someplace. And 3M isn't a huge amount for a three family home near public transportation, especially a home from the late 1800's that's attached to other homes and with thousands of dollars a year in upkeep. There's an even more important reason for taxes targeting condos more than the older buildings: rental buildings (like a 3 or 4 family brownstone) have renters, and higher taxes would mean higher rents.

All that said, if you build a brand new single or multi-family home someplace, anyplace, the taxes will be pretty high. It's all about the grandfathering of older asessments and a state cap on tax rate increases (20% a year I believe), which is allowed an adjustment if renovation is done (or a fresh assessment if it's new).