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.
WeTransfer - WeTransfer is a free service to send big or small files from A to B.
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.
Dropbox - Online Sync and File Sharing
Droid Transfer - Save and Print your Android Phone Messages, Manage Photos, Music and other files on your Android Phone through your PC. Android Transfer Software.
Send Anywhere - Send whatever you want, wherever you want