Security questions. For me to log into my income tax portal, I need to answer 1 of 5 questions. None of the answers to their questions are something that can be looked up in breach data - for example "Name your first love" my answer could be "the moon". I log into this once a year so forgetting my fake answers is a real possibility.
Medical information about my family such as current prescriptions and allergies.
My password manager also can create email aliases.
Basically, anything that needs to be kept secure, private, and accessible.