SMS Backup+ - Backup Android SMS, MMS and call log to Gmail / Gcal / IMAP - jberkel/sms-backup-plus
Save contacts - Save contacts app provides features through which users can select the desired data to create the backup in a variety of different formats.
SMS Backup & Restore - Simple Android app that backs up and restores your phone's text messages, and call logs too
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.
Epistolaire - Open source SMS and MMS backup app. Can convert to HTML, XML, Maildir (for emails).
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.