It would be nice to have the option to check generated passphrases against the list of leaked passwords from sources like Pwned Passwords which contains list of more than half a billion passwords which have previously been exposed in data breaches.
Pwned Passwords also implements a k-Anonymity model that allows a password to be searched for by partial hash.
If the user opts for checking the passphrases against the Pwned Passwords and it is found in the list then a new password should be generated for the user. This issue is inspired by the a Computerphile video.