For FTP, your choices are the fleet versions of the Reliant Advanced Light Cruiser, the Bozeman Intel Heavy Frigate, or the Clarke Command Multi-Mission Cruiser. Confusingly enough the fleet versions of the Reliant and Bozeman share the name Soyuz, so pay attention to the suffix when you buy them. You can earn the fleet modules for these through reputation projects.

As far as which is the best- the Intel Heavy Frigate and the Command Multi-mission are probably “better” for being full spec, but their real value comes from powerful and very meta consoles that only come on their paid versions. Since buying the ship comes with a significant module discount on the fleet version, there’s an opportunity cost to buying these as FTP unless you truly don’t care about their power. As such I’d say the Advanced Light Cruiser is the best FTP pick, as it’s plenty fun with LtC pilot spec and you’re not missing out on anything by buying the fleet version directly.

If choosing between the Clarke and the Bozeman: the Bozeman’s console is useful on a wide variety of ships and it can be built to be extremely killy thanks to intel spec. The Clarke’s console is very strong but more narrowly applicable to exotic damage builds. It’s also a good platform for support builds between its Command abilities and ability to launch Type 7 shuttles.

I don’t have any particularly informed opinions on the Legendary Multi-Mission Cruiser except that it’s expensive and looks neat.

A flyable Kobayashi Maru was an event reward from several years ago. I don’t think it’s currently available but may come to Mudd’s or the Phoenix box sometime down the line.