Knoppix is Knoppix. Other Live CDs with Knoppix in the name are not Knoppix, but they are likely based on Knoppix. For example Knoppix STD. Cluster Knoppix is a Live CD that is made for cluster computing, you boot the live CD on each computer on your local network and, at least in theory, you can use the computing resources of all of those system as a "cluster" to work on computation intensive aplications.

As to your video problem, if it works in failsafe mode then I see no reason to expect that you should have to run in failsafe mode, you should be able to determine "cheat codes" that also force it to work, keep trying video related cheat codes until you find ones that work for you.