Ubuntu - alternative to Acronis True Image

I'm considering switching from Windows 7 to Ubuntu 13.04. On Windows, I'm using Acronis True Image 2012 for Backup, which has these three key features for me:

Backup system partition and recover it via bootable CD (protects me from OS damage, I could be back and running with all my programs and settings in just one hour)
Backup selected folders using differential/incremental backup (I back up every week and use 1 full backup + 7 chains. Chain backup usually takes just 10-15 mins and full backup every 2 months I could survive)
Possibility to mount any backed-up version as read-only device, so I can naturally and transparently access and manipulate all my files in the backup.

AES 256 Encryption would be also fine, but this could be solved another way - to store an entire backup of the encrypted partition.

I have tried DejaDup which is preinstalled on Ubuntu, but I was not able to access backed up files another way than completely restore the backup, which is insufficient.

What do you recommend me?

Solution

There is nice comparison of some commonly used backup utilities on community wiki. I'd recommend Bacula.