Let Visitors Download Multiple Files, not one by one – Download Selected / All

I want visitors to get a list of files available for download (files I have selected to make available on this post, or files within a specified folder) — and to be able to click “Download All” or to put a check-mark in a box next to each file, and then click “Download Selected”.

I searched plugins for “download all”, “download selected”, “download multiple”, “zip” and “download”, but found no plugin that does what I (and surely others) need.

I installed and tried the following plugins, none of which enabled anything like “download all” or “download selected”.
Media Downloader
Download Manager
Simple Download Monitor