Leasebusters.com is a great way to get out of a lease. It's a bit pricey, but hey, it gets you the coverage you want and you'll have hits instantly. However, if you go with Leasebusters, you gotta be more than willing to part with some extra $$ incentive to even have any serious inquiries. Most people end up paying the lease transfer fee (approx $500) + cash to get their car gone. If you don't do this, nobody will care to look at it at all.
As for liability once it is gone, it's gone. I clarified this with my dealer on numerous occasions. You sign off on the lease transfer papers and the new leasee signs off and assumes the liability of the car.
I got out of my 4 year lease on my 08 Rabbit this way.
Lease transfer is low risk and has the least amount of financial burden IMO when trying to get rid of a leased car.