
In order to backup iPhone sms messages to PC/Mac for view purpose, I think you can rely on the help from a professional iPhone messages recovery and backup tool--iFonebox.
As is known that iFonebox is a powerful iOS data recovery tool which enables to transfer all data like text messages, contacts, notes, photos, etc, from iPhone or iPad to your computer directly. Plus, it is a great helper to recover iPhone/iPad deleted messages at ease, with or without any backup. so convenient. Next, I will show you steps to help you save all text messages from iPhone to PC.
Preparation:
- Your iPhone with USB cable
- Computer: either Windows or Mac
- Download and install iFonebox software based on your current computer, either Windows or Mac version.
How to transfer text messages from iPhone to PC/Mac?
Start iFonebox. Choose Recover from iOS Device mode. Please connect your iPhone to the computer so as to scan and analyze your text messages from it. If it is the first time to connect your iPhone to the computer, you need to Trust the computer firstly on your iPhone screen. Then click Start button to begin.

Choose text messages to scan. Click on the text messages icon and then, the program will start the automatic scanning process.

Preview and select text messages to transfer. After scanning, you can access and view your iPhone messages and then, choose all messages and click Recover to PC button to backup them on your computer.

Finished. It is quite convenient to transfer all messages from iPhone to your computer via iFonebox.