I think the problem stems from that no one actually have any pictures they want to share on a daily basis (exception might be pictures of babies). Instagram solved it by inventing shareable pictures of nothing.
While I can appreciate the idea of a "daily picture" (or whatever) in a more diary-form this is a completely different beast than a family photo / vacation photo / group activity photo etc., such photos only get better with time where an instagram is useless a social-minute after it was shot.
I've got the photos-that-get-better-with-time problem nailed, but I don't think it can be as viral as daily-nothing apps. Nostalgia tends to be more individual; daily-nothing is entirely social.
While I can appreciate the idea of a "daily picture" (or whatever) in a more diary-form this is a completely different beast than a family photo / vacation photo / group activity photo etc., such photos only get better with time where an instagram is useless a social-minute after it was shot.