From Backuptrans Studio:
If you have an Android and plan to get an iPhone, chances are that you want to keep those old Android SMS on your iPhone as well. Now Backuptrans Android SMS to iPhone Transfer can do this for you perfectly. It is fully compatible with the latest iOS 6 and iPhone 5. Backuptrans Android SMS to iPhone Transfer is designed to transfer Android SMS to iPhone directly. Connect both your Android phone and iPhone to computer, and you will get it done in a few seconds. Users can choose to either transfer all Android SMS to iPhone or just transfer the SMS with a certain friend as you want. Besides, you can also save the messages from Android to local database on computer for backup. Once you backup your Android SMS onto computer, you can use our software to copy those SMS from local database to your iPhone anytime. Viewing, exporting or printing out your Android SMS on your computer are supported, too. Users can export and save Android SMS as a file onto computer with a few clicks even though it came across a broken screen. File format includes txt, csv, word, html. Cleverly, Backuptrans Android SMS to iPhone Transfer let users print out Android SMS in threading conversations. You are flexible to choose to export/print all Android SMS or only the SMS with a certain friend. Features: 1. Transfer Android SMS to iPhone directly. 1. Backup and save Android SMS to local database on computer. 2. Transfer SMS from local database to iPhone. 3. Export Android SMS into document files. 4. Print out Android SMS in a few mouse clicks. 5. Smart Search and Filter. 6. Fast and safe. 7. Life-time free updates and fast customer support.
What's new in this version:
Version 2.14.11 is compatible with iOS 8 and iPhone 6/iPhone 6 Plus.
Version: Backuptrans Android SMS to iPhone Transfer 2.14.12
I have 5 years worth of SMS history back from Android on my new iPhone. The program guides you thru the process so it works in the end. It even integrated SMS from the same person from Android and some which have already been received and sent on the iPhone. That is really great!
A little bit scary with the (ab)use of the iTunes backup and the deactivating of passwords and security features, but maybe there is no other way to smuggle something into Apple's golden cage :-)
I found no other way to get back my SMS history. Is that worth 20+ Dollar? Well that's up to you. Tip: you should do that right at the beginning of setting up a new iPhone but it works also later.