Ah thats cool. Never heard of that. Just looked it up though.
The second movie is great, but to me, it just wasn't as special as the first movie. I loved Vito as the godfather and Sunny, who were obviously not around in the second movie. De Niro kind of made up for this though, in the scenes of him as a young Vito in the second movie.
I found the second movie harder to follow, and had to ask my bro what the hell was going on a few times. Characters would turn up and I'd be thinking 'who is this guy?'
I liked the scenes of Vito coming up, but I didn't like the switching back and forth, which will be unpopular, because people seemed to love that.
I'd give the first movie a 10/10 and the second 9/10.
I might try watching the version you have watched though.