

Although answer your question has forced me to learn more than I ever wanted to know about Twilight, for the sake of the people I have taken it upon myself to answer your soul searching question. All I can say is Thank Goodness for Wikipedia…without it I might have had to taint myself by actually reading/watching something involving either of these characters…
Powers/Traits—let’s face it, when it comes down to it, the one with the cooler powers will win. I’ve never had much respect for either of these characters, so I feel like this might be an exercise in mediocrity, the winner being the slightly less lame character, but let’s see what happens…
Edward—superhuman strength, speed, endurance, and agility, does not need to breathe, can read minds of anyone within a few miles, plays the piano
Aquaman—telepathic ability to communicate with marine life, which he can summon from great distances, as well as other creatures that live off the sea and creatures that have evolved from the sea; the ability to breathe underwater; superhuman durability high enough to remain unaffected by the immense pressure and the cold temperature of the ocean depths, this also makes him tough enough to be invulnerable to machine gun fire; superhuman strength; He can swim at very high speeds, capable of reaching speeds of 10,000 feet per second; He can see in near total darkness and has enhanced hearing granting limited sonar; a magical hand made of water with the ability to dehydrate anyone he touches with it, killing them instantly; the ability to change the shape and density of the hand; the ability to shoot jets of scalding water; healing abilities; the ability to create portals into mystical dimensions; the ability to communicate with the Lady of the Lake through the waterbearer hand; and the ability to nullify magic.
Sorry Twilighers, but there’s just no way Edward’s lame powers could stand a chance against Aquaman’s surprisingly better than lame powers. Initial advantage goes to Aquaman.
Weaknesses—It would be unethical to not consider weakness. Those familiar with Elijah Price’s words would be wise to remember that every true super hero has one. Aquaman becomes weak if he remains on land for extended periods of time. I couldn’t find any glaring weaknesses for Edward, which leads me to believe he’s not a real superhero… However, Edward could use this to his advantage, though I think Aquaman’s dimensional transportation ability, allowing him to escape to a realm of water at a moment’s notice would more than compensate for this. Advantage Aquaman.
Date-ability—let’s not kid ourselves, no matter who’s stronger, what really matters is who spends their Friday night out with a lady friend compared to who spends it reading comic books.
Edward— is described as being inhumanly beautiful, his scent and voice are enormously seductive, 108 year old man that likes 17 year old girls
Aquaman—King of Atlantis
If we subscribe to the adage that girls don’t like boys they like cars and money, then the obvious winner is Aquaman; he’s got a kingdom all his own! To me Edward seems like a pedophile and hopefully no one finds that hot. Advantage Aquaman.
In the end, the decision is clear; Aquaman is actually a lot cooler than Edward and would rock his world in a battle of Mortal Kombat. Who knew?