[Solarsail]

Now I'm inspired to try to fill out this list...

Pegasus (company's first try overall), Antares, all of the Minotaurs, Atlas 3 and 5 might count as new... Epsilon, H-2 (new?), Vega, Ariane 1, 3 & 4... And the Ariane 1 is both totally new on a systems level and an institution's first attempt at building one. Long March 5, 6 & 7.

Of the investor-backed launch startups, I think it's either no company got it first try... or Orbital Sciences counts as making it first try with Pegasus. Not sure if they count as an investor backed startup.