That might not be a bad business to start: "Get to know your origins, men! Give us a bit of your inside cheek (the scraping won't hurt a bit) and we'll tell you what's in your background! Perhaps a bit of a Dutchman or a Swede, an Italian or a Mede! A Slav, or a Jew, a Moor or Bantu!
I'm just being silly, but maybe we can start an internet Freeper business doing this--whatcha think, Jim?
>>I'd love to get my Y chromosomes tested
I know this is an oldish article (resurrected recently) but there are testing services that do this very thing. They will also take a look see at your mtDNA to look at your mother's side as well. Of course all this genetic evidence loses a lot the further back you go--you can not see any influence from your paternal grandmother or your maternal grandfather for instance.
http://genealogy.about.com/cs/geneticgenealogy/a/dna_tests.htm