Is there a way to download media files directly from the Chrome browser? In the stock Android browser I can long-click a link and select "Save link" to accomplish that, but Chrome doesn't offer that option and opens a media player instead.
In Chrome, keep your finger pressed on the link, and you will see an option "Save Link". Hence, the file(s) will be saved in the Downloads folder.
To access it and (perhaps) other folders in the future, I recommend downloading a File Management app.
While generally, ASTRO is said to be better, the free version has ads.
Download an app named Turbo Download Manager.
With one click on the file in Chrome, the option comes for this app. Thus, it downloads the files required.