Moving data from old iphone to new- third party software?

Anyone recommend some programs to move all my data (contacts, messages, app data i.e. Game scores, photos/videos, etc) from one iphone to another?

Added (1). Without using iTunes back up thing

Picking the best backup app for the iPhone is pretty easy, because there's really only one choice that's amazing: PKGBackup. It requires a jailbreak, but if you want the job done right it's worth the trouble.

By the way, should you want to learn how to use PKGBackup, we've got a guide for that.
PKGBackup

Platform: iPhone (Jailbroken)
Price: $8
Download Page
Features

Back up to an address book contact or Dropbox
Schedule backups to run whenever and however frequently you want
Back up everything or just a few things
Easily restore your jailbreak apps, settings, and tweaks after upgrading iOS or restoring your iDevice
The ability to share your backups with others, either locally or remotely
Backups are firmware independent, meaning, for example, that you can restore an iPhone 4 to an iPad running a different version of iOS
Initiate backup on application startup
Helpful documentation

Where It Excels

PKGBackup can back up pretty much any data on your iPhone-including your jailbreak apps, tweaks, and extensions. Not only that, it can back it up to your Dropbox account. If you don't want to use Dropbox as the backup destination, that's just fine. It'll save most of the data you care about to an address book contact which you can sync with iTunes and use to restore at a later time. You're also able to schedule backups and control virtually every aspect of the process. There's really no other app that offers so many features and so much control.
Moving data from old iphone to new- third party software - 1

Use your carriers backup such as verizon ssistant plus on your carriers app or icloud or google

The carrier or Apple can copy it all for you, or use icloud. Not sure why you don't want to use itunes though as that makes it very easy.

Just making it harder on yourself by not using iTunes.