As to Hulk v. Doomsday, which Doomsday? Real Doomsday, who died at the hands of Imperiex during Our Worlds At War, or Doomsday Rex, the clonse of Doomsday and a T Rex?
If the latter, I could kick Doomsday Rex's ass. He's a pushover, and a joke compared to what Doomsday used to be.
Real Doomsday could never die the same way twice, and sorry, but Superman took out the option of punching him to death. Doomsday has survived the end of time, and solo'd the Morrison era League (only Steel came up with a plan effective enough to stop Doomsday, and it was an old Star Trek trick. Transporter loop). So, Hulk is fighting someone who is faster, stronger, and far more deadly than he is, and is also not holding back at all.
See, the thing about Superman is that, as stated several times, he very only rarely goes full speed into an enemy. Off the top of my head, he's done it 3 times in DC canon (Doomsday, Imperiex, Mageddon). Until Superman went all out, he wasn't even hurting Doomsday. A Doomsday that had already solo'd the Giffen League (including Martian Manhunter, who was brainwashed into being Bloodwynd at the time) with casual ease, one hand tied behind his back, in fact. Hulk will not start off angry enough to be at Superman level, and he's going to get punched in the face by a being with Superman's level of strength and no ability to hold back. Not to mention the lethal poison that runs along Doomsday's bone spurs (which will no doubt impair the Hulk's healing factor).
Outside of galactic threats like Galactus and Imperiex, Doomsday is just about the biggest threat there is. At least, real Doomsday is.