I recommend **MiniDLNA** as a multimedia server that supports DLNA and has an official Docker image.

MiniDLNA is a lightweight and easy-to-use DLNA media server that can be used to share music, photos, and videos with other DLNA-compatible devices on your home network. It is available for a variety of platforms, including Linux, macOS, and Windows.

The official MiniDLNA Docker image is available on Docker Hub. It is easy to set up and use, and it comes with a number of features that make it ideal for use as a multimedia server, such as:

* Support for a wide range of media formats
* Transcoding support for devices that do not support certain media formats
* A web interface for managing the media library and settings

To set up MiniDLNA in Docker, you can use the following command:

```
docker run -d -p 8080:80 --name minidlna -v /path/to/media:/media geekduck/minidlna
```

This will start a MiniDLNA container with the media library directory mounted to the `/media` directory inside the container. You can then access the web interface at `http://localhost:8080/minidlna`.

Once MiniDLNA is set up, you can start streaming your media to other DLNA-compatible devices on your home network. For example, to stream your media to a Smart TV, you would typically go to the TV's settings menu and select the DLNA server option. The TV should then be able to detect your MiniDLNA server and start streaming your media.

Overall, MiniDLNA is a great choice for a multimedia server that supports DLNA and has an official Docker image. It is easy to set up and use, and it comes with a number of features that make it ideal for use as a multimedia server.
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