"Less regresssive"?
LMFTFY. A flat-rate tax is regressive, because poor people pay the same as rich people. A sales tax (such as VAT) is regressive, because poor people buy more stuff as a proportion of their income.
An income tax is progressive, because you pay more if you earn more.
Several people have claimed that the Beeb is some kind of "public good". I don't happen to agree; but if it's true, then clearly it should be paid for out of general taxation.