Property tax is the only common wealth tax in the US. All the issues people have with it like arbitrary appraisals and wildly variable taxes during market swings would also show up in more widespread wealth taxes.

But I wonder what the best ways to tax people are. Broadly, the US taxes income, capital gains, sales, and property. They all suffer pros and cons with how progressive/regressive they are, complexity of implementation, ease of dodging, and revenue variability. The common belief is move from California to Texas for lower income taxes, but then you find out that property taxes are higher, there are toll roads everywhere, and a lower level of government services, so there's never a free lunch. You also have to balance local needs (Alaska has different expectations and needs than San Francisco) with preventing taxation games like Oregon/Washington sales/income tax avoidance or headaches like living in NJ, working in NYC.