Originally posted by carver9
"Any Herald".
Perhaps.
Supes has the best feats of any of the conventional A listers, but he's no herald.
But if you mean to include the characters like Superman, then no, he doesn't.
Heralds of Galactus are the benchmark of this class, hence it's name, and surely Thor smacks them around almost every time he fights them. But Superman and his powerful enemies are many levels above this.
But I can see the confusion you get, because he sometimes gets knocked around momentarily by a herald level character. However, the characters who engage him are counting on his restraint, his fear of hurting innocents and causing egregious collateral damage and whatever plan they have concocted to allow them to gain the upper hand temporarily. Most of them have plotted long in advance of actually meeting him, because the DC heros and villains tend to know exactly the types of scenarios that will bring Superman to battle. Or they engage him entirely on their own while he's doing other things.
Even some of the mightiest beings on Earth such as Black Adam [though he started the encounter not on his own volition, he continued it by choice], who as we know as of WW3, is almost unstoppable in the absence of Superman [as 52 was marketed as the year without Superman, Batman and Wondy] and has the physical attributes of many gods relies on these things also. Notice Superman rushing around saving people while simultaneously fighting him, and still made him back down as he started getting stronger and stronger, because he again relied on Superman's restraint.
But when Superman is not doing this, he's been shown to walk over gods and demons and abstracts and whatnot rather easily.
Thor is still well below Thanos. A serious Superman runs over him. That's your power difference. Superman has one shot guys in the trans tier, and railroaded skyfathers. Thor can sometimes punch above his weight class and do amazing things, Supes' weight class is above gods, just as characters in his rogues gallery like Mxy, Doomsday and Darkseid and Brainiac are, but he's benevolent, and restrains his power immensely.