Titanium Backup is the most powerful backup tool on Android, and then some.
You can backup, restore, freeze (with Pro) your apps + data + Market links. This includes all protected apps & system apps, plus external data on your SD card. You can do 0-click batch & scheduled backups.

Backups will operate without closing any apps (with Pro). You can move any app (or app data) to/from the SD card. You can browse any app's data and even query the Market to see detailed information about the app.

PRO FEATURES ADDED:
Multiple backups per app
0-click batch restore
Multi-user support for some apps! (eg: games)
Batch verification
Backup apps without closing them!
Restore individual apps+data from CWM backups!
Restore individual apps+data from TWRP backups!
Hypershell speed
Migrate system data across different ROMs
Market Doctor (relink apps to Market)
"Destroy all Market links" feature
Apps freezer (incl. batch support)
Market "auto updating" manager
Convert user apps <=> system apps
Encryption
Unlimited schedules
Sync to/from Dropbox (manual/scheduled)
Sync to/from Box (manual/scheduled)
Sync to/from Google Drive (manual/scheduled)
Load/Save a Filter and use it in Widgets/Schedules
Protect backup against deletion
Send backup by e-mail
Backup→Verify→Un-install an app in one shot
Freeze/defrost/launch apps in a single click
CSV export any app DB (e-mail or Google Docs)
Brand the app with your name
Bloatware Melter (experimental)
Convert app data to/from faster WAL DB format
MORE MEMORY:
Dalvik cache cleaner
Integrate system app updates into ROM
Move apps into ROM
Integrate Dalvik cache system elements into ROM
What's in this version : (Updated : Jan 25, 2013)
Redesigned app menu & special features menu. Perfect excuse for version number bump!
Fixed filters screen bug: additional labels could get selected when loading a filter.
Fixed storage labeling: Android 2.3+ non-remov. storage is Media storage. If internal storage is the same, gauges are merged.
Fixed SMS/MMS XML backup failure on some SGS3/Note2 ROMs.
Fixed Apps2SD misdetect on some Android 3.0+ devices that don't have it.
Bugfixes, UI tweaks, optimizations.
Updated translations.
Required Android O/S : 1.6+