The following appear to be approved grounds for expedited treatment of appeals:
Appeal Bonds	Internal Operations Manual

Section VI, Page 14
Appellant Incarcerated	OCGA § 5-6-43(c)

Internal Operations Manual

Section VI, Page 14
Child Custody	Internal Operations Manual

Section XV (P), Pages 37-38
Parental Notification Act	Court of Appeals Rule 45

Internal Operations Manual

Section XXI, Page 34
Civil Cases in which the state is a plaintiff	OCGA § 9-10-1
Emergencies	Court of Appeals Rule 40(b)

Internal Operations Manual

Section XVI, Page 29
Cases in which motions for expedited treatment have been granted
Appeals from denial of supersedeas bonds in civil cases, per Judge Beasley , 4-11-96	Internal Operations Manual

Section XX, Page 47