You can download assets from Media Manager 5 either in original form or in one of the predefined qualities. This is an example of available download qualities for an image:
In order to download an asset from the homescreen, click the three dots on an asset card to access more options, and then select "Download". After selecting the desired quality, download will start immediately.
Once you click on an asset, download is one of the options in the actions menu under the asset.
If you want to download more assets at a time, you need to multiselect the relevant assets and then choose the option "Share" instead. This option, however, does not allow for downloading assets in other qualities than original.