Allankles
Kwisatz Haderach
And lastly if the issue is who's gotten the better of whom more times than the other, Darkseid has gotten the better of Supes more times than the reverse, even in Post Crisis (which is where they've had most of their encounters anyway).
If the issue is DS should swat Supes like a fly, that's not going to happen. Both because Superman is actually quite powerful, and because even if he has less power, there has to be some struggle in a comic. The only problem arises when the fight is unimpressive on most counts e.g. Apokolips Now, the only thing impressive about that fight was Supes speed in avoiding the beams.
In their first Post Crisis show down DS smashed and KO'd Superman and the entire JLA core to boot.
In their last 3 encounters before FC DS beat Supes, nearly killed him in one of those occasions before Big blue was saved by Miracle. So DS doesn't have a problem getting the best of him. When he gets challenged by Supes that's natural imo.