Mail games


That's not an option.

I know at one point, daily games did get sent when completed, but not sure that's still the case. That said, the site has over 10 million live games per day. Even if a small percentage of members used an option like that, that's a lot of emails, on top of alerts and other notifications that are possible.
It's pretty easy to get a daily session worth of games from the archives for those that want them as well.

https://www.chess.com/games/archive
Top right corner, with one click you can select all 50 games on the page, and then click the download button.