The SLS is arguable, I’d say. The design requirements were set by the government, but it’s not built by NASA. It’s built by Aerojet Rocketdyne, Northrop Grumman, Boeing and ULA, all of which are private companies. I don’t think NASA has ever built a rocket, actual construction has always been contracted out to private companies. Even the first Atlas was repurposed from an ICBM built by Convair and General Dynamics.