Easy.

Sync your Microsoft account with your Windows Phone. Then, sign in to your Microsoft account on your PC, then press the dropdown next to Outlook, and select People. Next, select Manage and choose Export. Now press “Save” to store the exported contacts file "WLMContacts.csv” on your computer (e.g. on your Desktop).

Now you have to transfer your Windows Live (Hotmail) contacts to your Google Account. To do that:

Sign-in to your Gmail account using a desktop computer.
In the main Gmail window, press the drop-down arrow next to “Gmail” and choose “Contacts”.
In Contacts page, press “More” menu and select “Import”.
Now press the “Choose File” button.
Navigate to the location where you saved the Windows Live Contacts file (WLMContacts.csv) in the previous step and “Open” it.
Finally, press the “Import” button and wait until the import process is completed.
And finally to your phone.

On the Android phone, go to “Settings” > “Accounts and Sync”.
Under “Manage Accounts”, select (or “Add”) the Google account you used to import WLM contacts.
Finally press “Sync Contacts”. You're done!

If you failed, check and follow this guide instead: How to Transfer Files from WinPhone to Android Phone

One option, send to email.
Second option, save to your sd card as an xml file and then copy to the computer.
If you can't make it, make sure you've read this post first.
How to Transfer SMS from Android to New Android Phone

Have you ever tried iPad Transfer?
It's quite easy and handy to copy photos from iPad to computer

There is no doubt that if you want to backup text messages from iPhone, you will need iPhone Transfer.
If you can't make it, try follow this guide:
[size=13pt]How to Export Text Messages from iPhone[/size]

There is a better and simple way to do so.
I've tried this nearly ten times, it works perfectly every time.
Check this: How to Transfer Contacts from BlackBerry to iPhone