The basic utility of Friday Night Firefight aside, the basic Cyberpunk d10 system had a few flaws. Mostly the equal (slightly greater even) emphasis given to stats over skills. Supposedly moving to Fuzion as the underlying system fixed that, but I wasn't really convinced.
Another choice might be Silhouette from DP9 - I find it offers a pretty good solution to skills versus stats issues. It isn't terribly granular though as each increase in stat or skill is closer to an exponential increase rather than linear, this isn't necessarily a bad thing though. It does have the advantage that it maps directly to a miniatures game (with multiple scales) and already uses d6's everywhere.
Speaking of d6's, I was always very fond of WEG's d6 system. Dead simple, capable of a fair degree of subtlety, it's a basic dice pool mechanism. Admittedly it's skewed a bit towards slightly more heroic style games, however I seem to recall there being ways to tune it somewhat. WEG may or may not be dead though - it's been a while since I've heard anything about their fate.
Was there an RPG scale version from Renegade Legion? I seem to recall there being one(Legionaire?), but I could be mistaken (I only have Leviathan, Interceptor and Centurion).
Finally the other system that would probably be useful would be Tri-Stat. It's adaptable to a fairly wide range of game types from mundane to superheroic and is pretty simple. It's something of a testament to the systems popularity that the 3rd edition of BESM was published (by a White Wolf imprint) after GOO finally imploded.
What not to do! Stay away from level based systems - they work OK for fantasy, but tend to be lousy at more technological settings. Staty away from the overly complex as well (Hero, I'm looking at you!). Some sort of point buy or use based experience setup would be the go. Ideally some sort of effects based setup as they seem to be most flexible - Tri-Stat or Silhouette would be the best matches, with the other requiring a bit more work to be useful.