Champions has an interesting character disadvantage entitled 'Rivals'. These are characters that are not villains, but they do want to 'do ya' one better'.
In the current cartoon 'Batman: The Brave and the Bold' which is a team-up show, Green Arrow, the hero, is Batman's rival.
When I ran the PC who played 'Ray' and later 'Sir Ray' for Multiverser, he was trying to win the hand of Lilandra the Princess and Paladin of the Eye of Truth. And he had a rival, which kept it more interesting. The Red Knight was also trying to win Lilandra.
Rivalry can be in a limited scope. One guy wants to prove he's smarter than the other guy, or that he's better with the ladies, or that he's a better rifle shot. Or it can be more all-encompassing.
Rivalry can range from 'we're honest competitors, and may the best man win, and that's me.' to 'He's honorable, but he takes dangerous chances to beat me out.' to 'Let's stab my rival's tires so that he loses the race.'
A rival can have an advantage 'he's got that Olympic grade rifle made by Starsongian engineers that is perfect down to the placement of the atoms in its barrel' or 'With that singing voice of his, I lose points to winning Kimmie's heart every time he breaks into song.'. Or he can be equal. 'Both of us are tough, he's a bit taller, I'm a bit stronger, we'll see who gets to the top of Olympus Mons first.'. Or the rival can be an inferior. 'Every time I turn around, that guy is breathing down my neck. He never gives me a chance to take a break. Granted it keeps me on my toes, and I can see he's suffering, but so am I. All I have to do to win this marathon is give a hundred ten percent, and the gold is mine. He can't beat me if I go all out. But oh, I hurt.'
In Multiverser, there are really four different ways to have rivals that extend beyond one universe.
1. Another verser. (and it could be that your annoying rival from World 27 becomes a verser due to strange circumstances.)
2. A spirit. Preferably some sort of lower powered spiritual being has gotten annoyed at you, and whenever you land in a world with sufficient magic for him to incarnate, he's there to show you how its done.
3. A Dimensional Traveller. Not all DT's are versers after all. Sorcerers of sufficient power, rulers or law enforcement of pan-dimensional empires, Dimensional Patrol Agents and others might find you.
4. Alternate dopplegangers who All find you especially annoying.
Numero Un:
Marcus the Master is a verser of moderate duration who has conceived the notion that he is going to be great. With enough training, he can be anything he wants to be. And what he wants to be is the toughest, coolest, and smartest guy around.
And the best way to demonstrate this is to meet other exceptional beings, and then show them you are better. His approach is to meet a verser or other interesting personage, and be friendly while he learns their skills or their goals. Then he goes to show them that he's better at it, or if he can't do the verser's main talent, he finds something he can do better. If he is really inferior across the board, he skulks away.
He's good at solo sports, hang-gliding, car repair, being charming, and reasonably good at ninjutsu and gourmet cooking. He's also a quick study so he picks up things with speed.
He has little in the way of magic or psionics.
Numero Dos:
The Wolf Spirit firmly believes that civilization is a sign of weakness, and that encouraging people to act on their intuitions is the best way to resolve problems. If you see a murderer, don't call the cops, get out your weapon, and whack him yourself. In D&D terms he's firmly Chaotic, and somewhat Good.
He believes that all versers should come to his point of view, and so he spends his time trying to convert versers. He may influence people, or on occasion he may possess them. More rarely, he may temporarily assume a body of a grey wolf.
His method of conversion relies on persuasive arguements and on showcasing how his methods work better.
Numero Tres:
Frederick Morgenstern is a Second Level Operative in the Alternate Timeline Service of his home world of Marche. He's not a bad guy, a bit stiff, a bit arrogant, and he likes to have a spot on his form to fill in for all situations. He spends a lot of time analyzing a situation, and finding the right box to describe it, and then letting the Guidelines for Proper Behavior of an Operative guide him.
Mostly he's there to try to guide other civilizations in other timelines to the point where they can be safely approached by his home timeline, and be brought into the Pan-Temporal Union which already has four worlds in it.
He considers himself a trained professional, and you are not trained. Nor do you fit into one of his boxes. And your interference in other worlds does not seem to be guided by his principles. And you've bumped into him in several worlds in part because he has an 'Anomaly Detector'.
Psionically, he has a basic Wall of Stone mental defense and a booster helmet which quadruples the power of the defense. He also has a vocal compulsion skill which is a form of mind control, but he cannot change a mind with it. He can make someone do some physical action.
Numero Quatro:
Lewis Montac is a high professional with mental powers in whatever world he is in. In one world, he might be a respected pschiatrist, and in another a master telekinetic, and in another a Lieutenant in the Psi-Hunt Patrol which helps the police out. But in all of them, he's seen a dream projected by a very powerful one of his alternates on another timeline. In some cases, he remembers the dream, and in others he does not. But it influences him in either case so that he instinctively dislikes the verser.
He will try to use the power of his position to keep the verser from achieving any significant status. He will tend to believe the worst of the verser. In order to further these goals, he will engage in rivalry with the verser attempting to show to the relevant authorities that he should be trusted, and the verser not trusted.
Description of Lewis Montac:
He's tall, and bit stocky with prominent bones. His eyes are dark and searching revealing his inquisitive and uncharitable turn of mind. His heavy black hair flares off to his right naturally, and dangles across his forehead so that most women consider him fairly attractive.
He might be called Lowell Montac, or Lord Montac, or Lewis De Montac, or Dr. Montgomery Tacson. In one world, he might have grey hair, and in another he might be in his early twenties. In one world, he wears a nice suit, and in another a wrinkled trenchcoat, and in a third the Robes of the Sensitive. But there is a hard core that remains the same. He's quietly arrogant, and likely to find the worst possible explanation for the verser's behavior. He's reasonably well-respected if not well-liked. And he has dreams.