It's not just the 'big players' who escape paying income tax and NI.
I know somebody (my ex) who doesn't pay income tax or NI, but uses the NHS and other public services quite legally. He has a property portfolio worth millions, but claims he makes no profit, because he has to pay mortgages. Any profit is actually channeled through other family members and paid to him. Some of it is kept offshore. He lives abroad for most of the year, so never brings the money back to the UK.
This arrangement was originally set up to avoid paying me any maintenance for our children and to avoid paying back a student loan. It also means that he's not liable for tax or NI. His wealth isn't taxed until he sells the property, but I have no doubt he will time that so that he's living abroad.
I would like to see a wealth tax on assets physically in the UK, so **s like him can't wriggle out of tax.