Login to Outlook, click on Messaging History.

The URL

should be similar to this…

https://blu154.mail.live.com/?n=1234…12345678&fid=b

If your remove the end bit after the equals sign and add &as=1

You will be able to see actual text messages directly in Outlook through web browser.

via
Wow look… View Text Message Backup in Outlook!? – Windows Phone Central Forums