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+ - 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.
SMS Backup & Restore - Simple Android app that backs up and restores your phone's text messages, and call logs too
Backup Your Mobile - Backup Your Mobile app provides features through which users can create a backup of their mobile phone data such as images, videos, audio files, system settings, the list of contacts, call history, messages, passwords, and various other.
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.