What do you like best about the product?

I'm quite new to this backup game, but Veeam just blows the competition out of the waters.
1. Speed in backup and restore
2. Robust secure configs

We could restore an entire VM of 1.5TB to ESXi in about 15 minutes from a local drive to local. We benchmarked against other backup software but nothing is as close to this speed.
We run hourly backups and the ease of intergrating them into multiple vCenters is just excellent.
Maybe the next step is to actually get a higher tier subscription for malware scannning.

Try the community edition for yourself and experience it.

What do you dislike about the product?

If you're new to the platform.
Navigating isn't the easiest. Config is feature packed. Security is so tight you would love to hate it.
But better secure than insecure.
One small drawback might be the backup size that Veeam creates. They are so massive that you might have to upgrade your datastore just to accomodate the backups.

I had to call Veeam support a few times just to get my head around where is everything and how to configure everything.

What problems is the product solving and how is that benefiting you?

Backup and restore and replicating important servers, host and files at the speed that is needed in a fast paced environment.