SMSD pro (backup SMS's) for Android
Save all or part of your messages to SD to be sure u'll never lose them cancelling them accidentally or changing your phone.
Try all the different themes to export your messages and download FOR FREE new ones if you're bored of the old ones.
Permission details:
Read SMS: core of the app, reads the sender/receiver number (never yours) and the body from each message.
Write SMS: the app uses this permission to restore backups.
Read contacts: used to organize chats by contact name instead of telephon number.
Read external storage: checks the structure of the directory to save chats.
Write external storage: used to save chats on SD.
Internet access: used to access downloadable content.
Install Shortcut: it's used by the app when the user decides to create a shortcut to the wall in the home screen.