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The game is still in development and will likely remain so for a long time to come, but since it involves Chris Roberts of the Wing Commander fame and is developed for PC, there seems to be a lot of interests in where it will go.
In any case, there are some very good-looking (if a bit rough in some places due to the game being in early development) designs in the materials that are available to the public. Here are a few of 'em:
Anvil Aerospace Super Hornet, a privateer ship developed from the standard carrier fighter of Earth's military. This particular variant is said to be as close to the military variant as being "civilian-legal" will allow but has a factory-installed hyperspace or "jump" drive and a seat for a second crewmember, which the military ship (and the more-economical baseline models) lacks.
Origin Jumpworks 325a, a combat-optimised version of 300i touring ship. Comes out of the factory with a heavier gun armament (two laser cannons and a trainable mass driver), missile launchers (300i has only the two laser cannons as standard), and an optimised fire control system.
The 300i series (and quite possibly the Origin Jumpworks itself, other than being the BMW of the game universe) is a meta reference to the Wing Commander franchise.
Origin Jumpworks 350r, a racer/armed-courier version of the 300i. Compared to the 300i, it is lighter, more weakly-armed (lower-powered laser cannons for armed courier roles), and powered by two main thrusters which, while smaller than the single main thruster of the rest of the 300i series, combine to provide a higher thrust-to-weight ratio than the other 300i series models.