The backup I want isn't listed.

debself wrote:

How do I restore contacts, apps, and photos from a backup of my OLD (dead) iphone? The old phone 6 doesn't show up as a device and its icloud backups are not listed in advanced settings.

Backups are associated with accounts (Apple IDs), not devices.

Also iCloud backup are not kept if another one was created for the same account. So your new phone's iCloud backup would overwrite an old phone's backup if using the same Apple ID.