A few common use cases that I've been using is connecting a development database in a local docker container to Claude Desktop or any other MCP Client (e.g. an IDE assistant panel). I visualized the database layout in Claude Desktop and then create a Django ORM layer in my editor (which has MCP integration).
Internally we have seen people experiment with a wide variety of different integrations from reading data files to managing their Github repositories through Claude using MCP. Alex's post https://x.com/alexalbert__/status/1861079762506252723 has some good examples. Alternatively please take a look at https://github.com/modelcontextprotocol/servers for a set of servers we found useful.
Regarding the first example you mentioned. Is this akin to Django's own InspectDB, but leveled up?