They are taking completely different approaches: Musk is in a hurry to get to Mars, and Bezos is taking his time. Here’s Blue Origin’s logo:
Gradatim Ferociter, means step by step, courageously.
Musk is fine with blowing stuff up, very publicly, in development. Bezos seems much more risk averse.
Having said that, Blue Origin is NOT vaporware. They are the sole source engine supplier for competitor ULA’s Vulcan Centaur rocket with their BE-4 engine. And you can’t get any more conservative “old space” and risk averse than Lockheed Martin and Boeing.
New (Alan) Shepard (suborbital) is still in development, and last flew in January.
New (John) Glenn (orbital) is in development, using the BE-4 engines, but they haven’t shown anything.
New (Neil) Armstrong (take a guess) has been announced, but there’s no info on progress.
Blue Origin also has a NASA contract to build a lunar cargo lander, Blue Moon, and they’ve shown a prototype. This is part of NASA’s Artemis moon project.
If you have even a casual interest in rockets and space, Ars Technica’s weekly Rocket Report is a great way to keep up. Frankly I think it’s amazing that there is enough going on to merit a weekly report!