I was trying to provide the name of this game when someone I know on a message board asked about the best Star Wars games (admittedly, I was trying to make a point about nostalgia filters), and I found I couldn't find an actual reference to the game. It was a game I played on the Radio Shack CoCo 2, probably also compatible with the CoCo 3. I think they may have just named it Star Wars, and it's possible it was a fanmade game rather than an official adaptation, but my memories of it involving a trench run on the Death Star, possibly followed by a sequence where you were doing a landspeeder run on the forest moon of Endor. My somewhat vague memories had the graphics of the Death Star trench run as something like vector graphics, with Tie Fighters popping up to fight. I think you only had a few positions on screen where you could be, with combat being real-time, but ships only moving to discrete locations on a periodic basis. I think that, at the end, you got the chance to line up the shot on the exhaust ports. It was an X-Wing that you were flying, so it would have been A New Hope.
In the landspeeder game (assuming I'm remembering this correctly, it was a combination of gunning down Stormtroopers on landspeeders (with the same setup as before there were there were a limited discrete set of locations to be), with occasional flickering premonitions of logs in the way, which I think could be horizontally high or low, or oriented towards the player left and right.
The graphics were, if not black and white, a very limited set of colors, and probably very much vector-based, albeit that I think all of the CoCo games were pixel-based, so it was simulated vector graphics using generated drawn lines.
As with earlier questions regarding Color Computer games, the timespan of the system suggests somewhere in the 1985 to early 1990s timeframe for publishing.