Mechanican extreme sports can be odd, dangerous and usually best observed from a distance or in a space suit by most humans. Others are extremely boring for the observers (bicycle driven ion drive racing is classic example). One example of the dangerous is re-entry 'surfing.' Mechanican athletes jump out of either space craft, stations or are just wormholed into the appropriate orbit to re-enter the atmosphere with minimal equipment.
Before long, someone had the bright idea of incorporating reaching orbit as part of the contest, creating the orbital biathlon. After a lot of wrangling, methods to reach orbit were determined. Initially, athletes used 'small' rockets, and inversion powered launch vehicles, but those were considered 'crude' and inelegant. Then, they began using laser launch to boost the athlete astronauts into orbit. In some cases, the mechanican athletes incorporated the launch shields into their bodies.
After a while, (mostly) unmodified humans began trying it (with some spectacular failures) and the orbital biathlon divided into the augmented and unaugmented leagues. Even today though, laser launch is the standard method for the athletes to reach orbit.
Use the replicator and matter conversion to build a laser launch facility, complete with inversion power plant (you'll need it). Then you build a small launch vehicle with a highly reflective diamondoid shield under it, and load it up with a pretty stable material that the laser can burn away energetically, propelling the vehicle and payload into orbit.
Comments? Thoughts? Spare change?
Since then, a orbital triathlon league has emerged, with a ion drive bike as a second stage vehicle for participants, who then transfer to the appropriate orbit. Some races use the laser launch to achieve escape velocity for the participants to reach orbit around a specific moon.