Outstanding car finance? Wouldn't the car finance company try and reposess the car if it still had finance outstanding which wasn't paid? If they contacted you wanting the car and you said you'd never seen it you could have problems as the DVLA has a record of you purchasing it, with your signature on the V5 etc, maybe even the guy in the DVLA office remembers your face. Then as you're not willing to handover the car (as you've never seen it) would they then try and claim cash from you?
Maybe it's a car that needs scrapping? Get it signed in someone elses name, dump it on the street et voila - no scrappage charge. (although with the scrappage scheme this seems unlikely these days).