SMS Backup+ - Backup Android SMS, MMS and call log to Gmail / Gcal / IMAP - jberkel/sms-backup-plus
SIM Contacts Manager - SIM Contacts Manager app offers features that let you insert your sim card to your mobile phone to manage, edit, add, and delete your contacts right at your fingertips.
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.
X-Transfer - X-Transfer is an app by WebToGo that comes up with features to help you in performing data transfer between your smart devices in a few simple steps.
Epistolaire - Open source SMS and MMS backup app. Can convert to HTML, XML, Maildir (for emails).
SMS Backup & Restore - Simple Android app that backs up and restores your phone's text messages, and call logs too