Before understanding use cases, it's useful to know what Vault is. This page lists some concrete use cases for Vault, but the possible use cases are much broader than what we cover.
At a bare minimum, Vault can be used for the storage of any secrets. For example, Vault would be a fantastic way to store sensitive environment variables, database credentials, API keys, etc.
Compare this with the current way to store these which might be
plaintext in files, configuration management, a database, etc. It would be
much safer to query these using
vault read or the API. This protects
the plaintext version of these secrets as well as records access in the Vault
While this overlaps with "General Secret Storage", Vault is a good mechanism for storing credentials that employees share to access web services. The audit log mechanism lets you know what secrets an employee accessed and when an employee leaves, it is easier to roll keys and understand which keys have and haven't been rolled.
The "dynamic secrets" feature of Vault is ideal for scripts: an AWS access key can be generated for the duration of a script, then revoked. The keypair will not exist before or after the script runs, and the creation of the keys are completely logged.
This is an improvement over using something like Amazon IAM but still effectively hardcoding limited-access access tokens in various places.
In addition to being able to store secrets, Vault can be used to encrypt/decrypt data that is stored elsewhere. The primary use of this is to allow applications to encrypt their data while still storing it in the primary data store.
The benefit of this is that developers do not need to worry about how to properly encrypt data. The responsibility of encryption is on Vault and the security team managing it, and developers just encrypt/decrypt data as needed.