Maybe if WCW hadn't made him steamroll over everyone like LokiCobain mentioned, I might have been ok with seeing the streak continue. However, week after week, Goldberg was this juggernaut that completely devestated everyone he was in the ring with.
To me, it made WCW's roster look weak and it set Goldberg up for the inevitable backlash that was to follow. Goldberg was a big and strong guy, but he was limited in the ring, hadn't paid his dues and was wiping the floor with everyone he faced. While some loved it, I saw the whole thing as becoming stale rather quickly. I'd flip over to Nitro and see what was going on and Goldberg would be coming out to the ring and then I flipped it back over to Raw.
I disagree with how the streak ended, since WCW had made such a big deal about it, they should've put Goldberg in there with a skilled competitor, someone that could carry him and make both of them look good, and have some sort of back and forth epic. Sting would've been a good choice for that. Since they decided to end it, they should've done it with a little class.
However, I agree with yoshi that Goldberg was a vastly overrated talent. You put him outside of squash matches with really good workers, and his limitations always became evident.