As per the movie, an endless time loop is occurring wherein the participants gets to relive each day over and over again until certain conditions are met.
The Participants:
-Batman
-Superman
-Captain America
-Tony Stark
-Hercules (Marvel)
-Thor
The Scenario:
In this scenario, they are all superhumans are then STRIPPED of their powers. And while the world is in total confusion on how this happens, these heroes get to relive each day over and over again.
The Condition:
They must Woo and consummate their relationship with Wonder Woman. However, it is assumed that this WW is the version who is fresh out of Themyscira and has ZERO memory of any of the above characters.
The tricky part? No one is told of this condition, they have to figure it out for themselves.
The first person to consummate with Diana gets to leave the time loop. The rest gets stuck in an alternate/ parallel timeline experiencing the loop forever.
Who gets to figure it out first?
Who gets to consummate first?
This is stacked for Thor or Hercules, they both, by their godly nature would be inmediately inclined towards Diana, Herc almost inmediately would like to sleep with her. He would have the hardest time, given Diana hates mythological Herc, but I think Herc pulls it off because he gets to think more about his rod.
I'd say who Diana is inclined to matters a lot more than the reverse. She'll kick someone to the curb every loop if they don't appeal to her, and machoism is not going to impress.
Capt'd I think would have a pretty good chance, he's not all that different from Steve Trevor's whole story after all (though a lot smarter than Golden Age Trevor). Personality wise they'd really hit it off.
We know Bruce and Diana have kind of a thing, but I think part of that is based on their history, so I don't think that'd be the best chance, but he'd definitely be attracted to her.
Hm, Capt or Thor, slightly more likely on the former.
I expect someone who doesn't ooze the general douchbaggish and womanizing ways of Tony and Herc to succeed, yeah. They can be as smooth as they want, but Diana is like a living bullshit detector. Tony will wind up making an ass of himself and Herc will likely do the same thing and effectively ruin their chances. They both have far too many flaws that Diana would likely be put off from.
Captain America's earnestness and honesty coupled with his innate heroism and the like makes him a prime candidate, and Thor, being a god/warrior will identify a lot with Diana without the general womanizing behavior of Hercules. Hell, even Bruce and Clark have a better shot than Tony and Herc.
Keep in mind those two work by presenting themselves as attractive and available, and then the person they're with responds to that, then if they're turned down they shrug and hit on someone else.
Being good at casual relationships doesn't mean one's good at wooing one specific person. Capt's decency and goodness, and Thor's nobility and warrior's spirit, will both be more attractive to Diana specifically by a long shot (also, if he acts like he does in the Thor: The Mighty Avengers series, he can be really cute too!).
Herc and Tony are man-sluts. They're good at being man-sluts (just ask Northstar!), but that doesn't mean everyone wants a man-****.
I'd say, in order-
Capt
Thor
Bruce
Clark
Herc
Tony
Bear in mind that "Groundhog Day" is the ultimate prep condition. They get to redo every single mistake they make during the day and do it better the next loop.
However, being as none of they KNOW what they have to do, a lot of the nobler characters here might end up getting REALLY distracted righting the wrongs of the world within that one day.
They could well get stuck in here for decades before lucking into what to do.
I actually see Superman spending eternity righting wrongs and saving lives throughout the whole day. :P Might keep him too bz to even think about wooing WW.
Stark and Herc might not be WW's "type", but won't they be the only 2 who are even CAPABLE of thinking of their genitals while the whole scenario is playing out?
They might not be the most qualified, but they're certainly the most likely to give the most (as well as the earliest) attempts. Supes or Bruce might just downright ignore her the first few decades.