Ground rules: Doomsday has been depowered as of late due too cloning/personality formation/bad writing. For the purposes of this fight I'm using Doomsday's first appearance, which happens to be when he killed Superman. Bruce Banner begins the fight pre-pissed off and in hulk form. The battle field is earth...these two need wide-open spaces.
Personal bias: The Reign of the Superman storyline which takes place immediately after Superman's death is what got me into comics. I, of course, went back to read how Superman died and thought a monster like Doomsday was a much better way to kill him than Luthor getting lucky with a Kryptonite bullet...or something. Doomsday only got scarier in the Hunter/Prey storyline that followed. For those stories alone, I prefer Doomsday to Hulk.
Fight! Both combatants show immediate aggression towards each other, but in the contest of rage, Doomsday has already won. The monster sprints towards Hulk going from 0 to 500 mph in a matter of yards sends him flying with a double fisted uppercut. The Hulk saved his face from the blow but is now defenseless as he plummets back to earth. Doomsday takes advantage, leaping into the air and drop kicking Hulk, hastening his decent. Hulk ...