The only company that I would take seriosly right now is Aerion (http://www.aerionsupersonic.com/). They are working on a supersonic private jet (12 passengers). They already have quite a few orders (notably 20 jets for Flexjet, 120 Mil a piece) and a cooperation with Airbus, who is apparently helping them. Probably in exchange for their drag reducing "laminar flow" technology.
Building a new aircraft is a huge undertaking, both in terms of technical challenges, financing and organization. A supersonic one even more so.
I'd love to be proven wrong, but this doesn't sound too promising.