Here we are all about getting our Trek on using the Star Trek Adventures system as published by Modiphius Games . You can find these rules for sale on Drive-Thru RPG in PDF format or on their website. You should also be able to find the rules for sale at gaming stores in your country if you want a physical copy and buying directly from Modiphius isn't feasible.
Note that if you buy a physical copy you can email them your receipt and they will email you a pdf for free!
While you can use any of the rules books you like, you only need the Core Rules and/or Captain's Log, the latter being optimised for solo or duo play but also helpful for character development for group play.
Being the Sci-Fi, interplanetary franchise that spans real-world decades and fictional millennia that Star Trek is, we have a lot of space to go around. Like the TV shows, films, novels and other bits of canon and beta canon that we all know and love, here on the League of Whimsy we share our universes both with actual canon and each other.
Sharing universes means that the ships, stations, characters, species, events and everything else that are created in the process of play exist not just for their creators but also for the rest of the sever also playing in that same universe. This is good to keep in mind because there won't be two identically named ships running around at the same time unless some time shenanigans are happening or people are stealing from the fleet museum… again.
Sharing is great as it gives our stories a richer texture because they are part of a broader tapestry. While you can't be expected to read everyone's logs, we will have a place for people to submit a brief summary of their missions so that we can maintain a broad idea of the goings on in the fleet.
There are four options currently for you to play from, the three “Standard” universes which are the “Prime” universe, the “Mirror” Universe and the “Kelvin” Universe. The fourth option is “Other” universes in case there's an itch you really want to scratch that none of the others can reach.
Specific rules for playing as part of the League of Whimsy Fleet can be found on the Rules page or on the Discord server.