Call History: Any Numbers is a handy app that allows you to search, backup, delete, export to Excel, and do more with your call logs. It is a very easy-to-use app with a simple user interface. You can see the list of all the calls that you have ever made or received. You can also view the number of your contacts and the date of the call. 

You can make a backup of your logs and restore them on the same phone or on another one. This app can export your calls to an Excel file. 

There is a useful statistics page that gives you more insight into the calls you are making/receiving. You can also view your SMS history. You can also use this app as an auto-backup option. Call History is a free app. You will not need to pay a penny to use it.