To execute more than one process, you need to explicitly bring along some supervisor or use a more compicated entrypoint script that orchestrates this. But most container images have a simple entrypoint pointing to a single binary (or at most running a script to do some filesystem/permission setup and then run a single process).
Containers running multiple processes are possible, but hard to pull off and therefore rarely used.
What you likely think of are the files included in the images. Sure, some images bring more libs and executables along. But they are not started and/or running in the background (unless you explicitly start them as the entrypoint or using for example docker exec).