I dug into some numbers to try to figure out what kind of tax rate you'd need to make that work. It's... challenging to say the least.
What I did find however was that in terms of income distribution, only 23M households were making <$20K/yr (mean household size was 2). An incredibly rough number, but you could run a Guaranteed Minimum Income program for $20K/yr for about 10x less (1.7% GDP) - you'd get that for free if you switched to single-payer nationalized health care (Canada, Germany, France, UK, Japan costs are 9-11% GDP while the US currently spends just under 18% GDP)[1]
This of course will never happen in the US because it'd make too much sense.
If you want to play w/ some numbers/sources: https://docs.google.com/spreadsheet/pub?key=0AgAh7-k-pFfVdG1...
If the BI is constant across a geographical area that has varying housing costs then people without any other income would choose to live in cheaper areas, those living in currently expensive areas would have to pay more for basic services to allow people providing them to live nearby. I think this would help to deflate the current housing bubbles.
http://articles.sun-sentinel.com/1993-08-16/news/9301300112_...
The UK has a sales tax called 'VAT' that applies to almost everything, with a defined list of exceptions.
Most types of food are untaxed, as are books, children's clothes, college education, safety boots, gold investment coins, sport activities, tap water, most healthcare services, burials and cremations, museum entry fees, houseboat moorings, charter of military aeroplanes, and so on [1].
OK so the list of things that are exempt or 0% taxed is fairly long. But the vast majority of things are subject to VAT.
[1] http://www.hmrc.gov.uk/vat/forms-rates/rates/goods-services....