Cactus Jack and SABU had some great street fights way back when in the early 90's in a Las Vegas promotion. I remember whatching tapes and Jack piledriving Sabu on blackjack tables. And then they also had another in ECW which was good.
I don't know if these were called Street Fights, but Cactus Jack vs Chainsaw Charlie in WWF circa '97/98, and then Foley vs Funk on RAW after Foley felt betrayed by the crowd when they chanted Austin when X-Pac and the NOA joined DX, those two matches were pretty bad ass. They were definetly NO DQ, and if I remember right they were both called Street Fights, but I could be wrong. Those two deserve mention.
Other than that I totally agree that Jack vs HHH in 2000 was amazing, the storyline was great and the match delivered. Got me wanting to watch it again right now.