Titanium Backup - Titanium Backup is a very old backup app that has been around since the early days of Android. In fact, it's one of the few apps that covers all versions from 1. Read more about Titanium Backup.
3uTools - 3uTools is a most efficient iOS file and data management tool for Apple users.
Super Backup & Restore - Super Backup & Restore app allows users to backup all their stuff such as pictures, videos, apps, text messages, contacts, call history, and calendar data, etc.
TinyUmbrella - TinyUmbrella saves the "SHSH blobs" of your Apple device (i.e.
Degoo - Degoo is a cloud style storage program for all kinds of files. You can use Degoo to store things as varied as business reports to family photos. Degoo acts as a backup to physical files, which can be easily destroyed or lost. Read more about Degoo.
Blackra1n - (This is an OUTDATED jailbreaking method.)