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.
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.
My Contacts by Captain Tushar - My Contacts is an app by Captain Tushar that comes up with features to help you in managing your contacts list so you can effortlessly delete or edit existing contacts.
oandbackup - Make backups of selected apps on your device and restore from those backups.
SMS Backup+ - Backup Android SMS, MMS and call log to Gmail / Gcal / IMAP - jberkel/sms-backup-plus
MIUI Backup - built in backup manager in xiaomi devices