The UK and all former British Law countries... if you live there but you are not a permanent resident (I am not using the right terminology here, sorry, it 's a difficult word and I do not remember it), they do not tax your income from outside their territory.
It 's more complex than that, but it can give you a start.
Non-domicile.
In the UK, you are considered a tax resident if you spend more than 183 days in the country, or more than 91 days per year averaged over 4 years. There's more to it, but that's the gist.
So most of the very rich just move to the Bahamas and places like that.