Veeam just released Backup 3.0 with ESXi(including the Free version) support:
In addition to the ESXi backup through VCB that was introduced with version 2.0, Veeam Backup 3.0 now supports ESXi backup without VCB. Veeam Backup is the only VMware backup solution that lets you backup and restore virtual machines running on all existing editions of ESXi, including ESXi free.
Now head over to Veeam and download your trial and start doing full VM backups. Veaam Backup also provides you with a file level restore:
Veeam’s fast file-level recovery feature allows you to restore individual files from your image-level backups and replicas in seconds, without having to extract the full VM image to your local drive.
Just a tip, I would suggest to do a “zero-out” before running the full VM backup!