I haven't played them in years, but I do have quite a few non-PC space games, mostly stored away in boxes "somewhere".
WarpWar - fantastic game, played it a lot back in high school and college. It was a minigame from the Metagaming company - the whole map, counters, and rather small rule book fit in a pLastic envelope about 4"x6" that you could carry in a hip pocket. The map was just some dots (star systems) connected by lines (warp lines) - sound familiar?
Ship design was the most important part of the game, choosing a balance of missile weapons, energy weapons, shields, engines, and powerplant. In combat you had to choose how to allocate your power supply (which varied depending on the size of your powerplant) to different components. You could also make some of your ships be system ships without warp engines, which gave more room for weapons etc but required a warp ship to carry them to other star systems. Lots of fun, for a fairly simple little game.
StarForce Trilogy - from SPI, discussed in my response to Ed.
Outreach - another SPI game, I don't remember much about it except that it had a very cool map, each hex one light-year across, representing local space in about a 15 ly radius around Sol System. The map was a 2D representation of 3D space, using colors and size of dots to indicate whether a particular star system was above or below the plane of the map. I don't remember if we ever actually played the Outreach game, but we used that map as the basis for a lot of homemade games!
Space Viking - don't remember much about it except that it was a disappointment, as I was expecting something based on H. Beam Piper's novel of the same title.
Star Smuggler - sort of a solo RPG kinda thing, a little booklet that directed you to different pages depending on choices you made - like one of those choose-your-path books, except that it had actual combat determined by die rolls, and then you followed the path indicated by whether or not you were still alive after combat.
Probably others as well, but those are the main ones I remember.
SpaceBadger