The Barton DNA project has operated a sponsorship program since 2001 and the Hodges-Hodge project started a Society in 2006 which now operates its sponsorship program. The Cooper project is under new leadership, setting up a site at WorldFamilies and including a Sponsorship Program. I would guess that a number of projects operate some sort of sponsorship program.
Obviously, a significant number of Surname Projects are in the Sponsorship Program mode - even if it is Ad Hoc and just for the WDYTYA? (Who Do You Think You Are? meeting in London) each year.
As a reference - the Barton DNA Project currently offers a 37 marker test for $100 for the first male tested in each Barton family (as defined by earliest known ancestor). We also will provide a free test for special situations - and have committed to provide up to three tests at WDYTYA?