Explanation:

To ensure consistent picklist values on a category field across accounts and cases, while allowing values to vary based on record types, the administrator should use the following two features:

Global Picklist: This feature allows you to create a single picklist definition that can be reused across multiple objects, ensuring consistency in values. The picklist values are shared across objects like Accounts and Cases.

Custom Picklist: Custom picklists can be tailored for each object (e.g., Accounts and Cases) and linked to record types to ensure that only the appropriate values are available for each record type.

These two features allow you to manage the same picklist values across multiple objects and customize them by record type.

Dependent Picklist helps create relationships between two picklists but isn't necessary for this requirement.

Multi-Select Picklist allows multiple selections but isn't directly tied to managing consistent picklist values across objects.