From my experience, AssetCentre works pretty well with Rockwell products. I know it can do non-Rockwell devices provided it has the correct configuration. But the software is expensive and be prepared to pay.
If you are concerned about electronic audit trails it does a good job of logging things.
It takes a bit of setup and knowledge to get the server configurations ok. I've run into some issues on 64bit servers.
Also FT Security isn't the easiest to manage. I've locked users out of the system on a couple of occasions.
If you are backing up lots of HMIs I have concerns about RSLinx Enterprise's capacity for a large amount of devices. A site using AssetCentre is having problems because they reached the upper limit on adding HMIs to the Ethernet driver, and apparently Enterprise doesn't fully support making multiple Ethernet channels.
Long story short:
Works well with Rockwell devices.
Expensive.
A little tough to set up but works well once in place.
Security config can be a pain.
Perhaps go with another solution if you have a large amount of non-Rockwell devices.
I would suggest checking out VersionDog, I have not used them but have heard they work well and are probably a lot cheaper.