No. He fights General Zod, his lady Ursa, and his mute henchman Non.
Doomsday the cloverfield guy is big but superman has taken down bigger dudes with actual powers and doomsday killed superman. Though he died in the fight as well.
Super Man
Batman and the supervillian that killed him was doomsday
Superman and Doomsday were equally match if not more so Doomsday. But Superman had advantage of will power, as he always does. Superman used up all his (solar) energy with his final punch too take down Doomsday. Who also did a final punch to take down Superman, who had no energy left so "killed him" (As we know later it didn't) Not worth thinking into. The writers wanted Superman to die and they couldn't leave Doomsday undefeated by Superman, so it was only way to write it.
He killed Superman so he's pretty strong, granted he died in the fight as well but still.
Superman/ Doomsday (2007)
Adam Baldwin
To the best of my knowledge Doomsday's stats were never officially published, but in the comics during is fight with Superman (Superman being about 6 feet) he appeared to be about 7 ft 6 in.
yes
It already has, you can find it at tubeplus.com
"Superman Lives"
Doomsday killed him in the 1992 story-arc The Death of Superman