Hi Eva,

I dont know your level or interest in writing javascript, but it appears that the action that the API file browser uses to download files could be co-opted by your list. You'd need to make a custom button for this. When clicked, it could take the checked rows, query the server to file the file paths or names (i assume this is a column in your list...), and then POST to /dav/zip.view with the directory and list of files to include. I dont believe this is a public API, so would theoretically be subject to change in future versions, though in this instance I think your risk is fairly low.

-Ben