This is something ive been slightly interested in, although minimally due to its costs, mostly due to folks I know wanting to go that route soon.
By my very limited understandings, each you have listed is basiclly different burning formats. Almost unreadable by any of the other makes. So say, if you buy and burn a DVD with Sony hardware, you cant play it, read it etc on a Panasonic. etc etc... None of the companies are willing to say the others is better and adapt to match it. Each claim superiority. (shocker...)
As for what works on what players, cant say...
And please, if I am wrong here, someone please enlighten me. Id rather know it to be incorrect info then be passing on wrong stuff to folks!
*EDIT*
Btw, this is what I heard a very long time ago when these first came out, so thats what I am getting this info from. It could be different now, but again, cant really say.