While this will require a lot of work to get up and running, the wealth tax that should be pursued is land tax. Land can't be offshored (except on geological timescale), so can't be avoided easily, while different rates can be charged based on land use.
For example, someone's first home, active farmland and other land of high value use can be given a low tax rate. On the other hand, someone's second/holiday home, country estates/mansions, grouse moors and other uses that are not essential, and in many cases a burden on society, can be taxed at higher rates. If someone doesn't like the tax, they can sell the land and another buyer will take it and pay the tax, or convert the land into something more useful that's taxed lower. If this leads to difficulty selling, the land value drops until it sells, which makes it all more affordable and reduces already high housing/business costs for many.
This will either be a high revenue raiser, and/or will lower the costs of assets that are a burden on other more useful economic activity, making existing tax burdens more manageable and lower welfare spending.