Is there a statute of limitations for bench warrants that are issued for non appearance in court for moving traffic violations in GA?

Yes, The warrant has to remain active for five years and the jugde can't state it has to remain open longer

Arrest warrants are valid until served or recalled. Unless the issuing court takes specific steps to recall and quash the warrant, it remains in force until the accused person is arrested.

Warrants never expire. They exist until canceled by the judge.

Bench warranta are good until served or until withdrawn by the issuing judge. If is is a bench warrant for traffic court, that may not be all the problems you are facing. You will probably find that...

No there is no statute of limitations. Your license is suspended and you cannot get another one anywhere until you take care of this.