There are already a bunch of great space games for the desktop, but the one which spacerpg3 is inspired by is the classic game EV Nova. Although the game is more than a decade old, it still has a loyal following to this day; you can find the reddit community for this game at /r/evnova, and it covers the whole ev series including classic and override. You'll find instructions for playing it on your computer; it's free now, since the company that created it no longer exists.
Another one, with a very different kind of play style but lots of automation of the boring parts, is endless-sky. You can have fleets in endless-sky, and the size of your fleet is only limited by the strength of your computer. You can find endless-sky on steam or at https://endless-sky.github.io/
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