General:
* Avoiding
* Dodging
* Escaping
* Sidestepping
* Circumventing
* Shielding
* Ducking
* Shunning
More specific:
* Eluded: Used when someone is successfully avoiding capture.
* Outmaneuvering: Used when someone is using clever tactics to avoid someone or something.
* Disengaging: Used when someone is withdrawing from a situation.
* Deflecting: Used when someone is changing the direction of something or someone.
* Sidestepping: Used when someone is avoiding a specific issue or question.
* Circumventing: Used when someone is finding a way to get around a rule or obstacle.
* Concealing: Used when someone is hiding something or someone.
* Suppressing: Used when someone is preventing something from being known or expressed.
The best synonym depends on the specific situation and the meaning you want to convey.