How do you guys check what has been backed up?

The COMPARE command can be run remotely whenever you like, and shows latest changes by default.

Commandline is easy way to see how it goes, however for long-term you can Export as Command-line, editing that from backup to compare syntax. Once that works, you can script it, then use run-script-after.

How (and how often) you get to read the reports is up to you. Where does script output go to (difference between BEFORE and AFTER?) might be one way if you need them in an email. Http has a length limit.

Is it possible to get the backed up files listed in the log?
How I can see what files was added to backup?!