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The Star Fleet Universe isn't the canon Star Trek universe, but one parallel to it, based on a non-expiring 1979 license held by Amarillo Design Bureau to publish tabletop games, primarily starship combat, based on Franz Joseph's original Star Fleet Technical Manual.
Paint by Kent Ing
Additional original material has been created to expand that universe beyond the Federation, Klingons and Romulans from that book, including more ship classes for those factions, some seen in Star Trek The Animated Series and mentioned in some of the novels, as well as entirely new alien races along with their ships.
The first game produced was Star Fleet Battles, and now Federation Commander is a more rules-light version of that game, complete with the same ships you're familiar with as well as new ones, and improved, color artwork on the ship cards.