SMS Backup+ - Backup Android SMS, MMS and call log to Gmail / Gcal / IMAP - jberkel/sms-backup-plus
SMS Backup Android - SMS Backup Android is a free Android application which allows users to backup and restore SMS...
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.
Epistolaire - Open source SMS and MMS backup app. Can convert to HTML, XML, Maildir (for emails).
SMS Forward - SMS Forward is a simple app that allows you to redirect SMS you receive on your phone to another device.
SMS Backup & Restore - Simple Android app that backs up and restores your phone's text messages, and call logs too