How can I manage standard and common lookups using API?

You can manage lookups in Subscription Management by using REST API.

See REST API for Common Features in Oracle Fusion Cloud Applications.

Use the following:

• For standard lookups - resources/11.13.18.05/standardLookups/{LookupType}
• For LOVs - resources/11.13.18.05/standardLookupsLOV/{standardLookupsLOV_Id}