Star Trek Role Playing GameEdit
The FASA game published 1983 to 1989. It included both tactical starship combat and role-playing character rules.
I find it a great source for various parts of the Trek Universe.
Wikipedia article: No longer reads like it was written by monkeys that live under rocks for monkeys that live under rocks. Someone fixed it.
The Memory Alpha look at it.
Complete Starfleet Library A rundown of the full product line.