General Antonyms:
* Busy
* Active
* Productive
* Engaged
* Occupied
* Working
* Diligent
Antonyms related to specific meanings of "idle":
* Operating: (if referring to a machine)
* Working: (if referring to a person)
* Moving: (if referring to a physical object)
* Relevant: (if referring to an idea or statement)
* Meaningful: (if referring to a task or activity)
The best antonym to use will depend on the specific meaning of "idle" in the context you are using it.