Ok, now it's King Hyperion. Let's see:
In terms of raw power, K. Hyperion is the same league as Blue Marvel, Sentry, etc. That puts him a little under a MegaFoe while Superman is 615 KiloFoe. A MegaFoe is simply 1000 KiloFoe's, correct? If so, then K. Hyperion is a little less than 1.6x stronger.
In terms of experience, Superman has seen more stuff than K. Hyperion. However, K. Hyperion is no slouch. He's killed all the heroes of "countless" Earths which inlcuding Thor's, Hulks, Sentries and Blue Marvel's. Going further, KH has fought two alternate versions of himself at the same time and was definitely holding his own. Hence, I find it hard to say which of holds a definitive edge. Superman is also smarter but what does that matter in a slugging match when both are good fighters?
Ability-wise, Supers and KH has the same basic powerset. Superman has more resistances but the only one that really matters here is Energy Manip. While KH lack that resistance, he can just use his Atomic Vision to match Supes' Heat Vision,
like he did when he fought his alternate selves. Both have Ice Breath. Supes has limited intangibility but he doesn't really abuse that and even if he did, I don't recall him phasing through energy attacks so KH could still hurt him. Both has the same level of Regen that matters for this fight. Bit of an impasse here.
So really, I see this as inconclusive. The main difference between King Hyperion and regular Hyperion, is that KH is definitely stronger and has a much better showings and track record than regular Hyperion. However, his only major advantage is a small AP advantage that doesn't mean that much. Superman has a few more tricks up his sleeve but I don't feel that any of them are enough to definitely give him the edge. There's a good level of canceling out here.
