Double Dragon also had some great moments that made it appealing.
At one point on the first level there is a poster of a VW Beetle on the wall. As you walk past a huge bloke crashes through the wall and becomes your first real challenge. Fighting him was fun because you also had a couple of normal bad guys and a woman with a whip to beat, but more experienced players knew the trick was to stand on the platform above where he came out. If you got in exactly the right place he would come crashing through the wall, turn around and go straight back in again.
Another game that features a Double Dragon style mode is Tekken 3 with its Tekken Force section.
"Chicken!"