Which list describes the system supported by an unauthorized range of operating space items?

The correct choice identifies the "Allowance equipage list," which is associated with a system that supports an unauthorized range of operating space items. This type of list typically includes items that are not officially sanctioned or provided within the standard operating procedures, often allowing for flexibility or adjustments in operations that might not be covered under formal inventory control guidelines.

In the context of maintenance and production, the allowance equipage list enables organizations to manage and utilize equipment or supplies that may fall outside the normal authorization, making it vital for situations where operational adaptability is necessary. This list helps ensure that necessary resources can still be utilized despite not having received prior approval for use, thereby supporting effective operations even in dynamic environments.

The other options, while related to equipment management, focus on authorized and standardized lists that do not cover the specific scenario of unauthorized operational space items. The equipment list typically reflects all standard equipment owned, the operational parts list lists components required for certain operations, and the maintenance equipment list details equipment necessary for maintenance activities, all within officially sanctioned parameters. Therefore, these options are not applicable in the context of managing unauthorized items.