Non-appealability of specific state tax orders precludes appellate review for measures like seizure, transfer, and prosecution. No appeal lies against specified categories of decisions or orders by a State tax officer: directives transferring proceedings between officers; orders directing transfer by the Commissioner or other authority; orders for seizure or retention of books of account, registers and other documents; orders sanctioning prosecution; and orders made under a particular statutory provision referenced in the Act, thereby excluding appellate review of these classes of administrative and enforcement actions.