Starbright has released their Cyber-Fate RPG using the Fate Core Rules (as implied by the name). Go check out some cyberpunk gaming.
From the release:
A cyberpunk setting for FATE, with the core FATE rules baked in. Fate is a generic role-playing game system designed to offer the least possible obstruction to role-playing. Fate has a large number of innovative gaming mechanics. This game includes the Fate core rules and a cyberpunk setting in one integrated package.