Winterwisps
I wrote recently a novel with a lot of dubious characters. Many of them were antagonists to each other, and most of time, they're able to understand each other motivations, even if it clashed with their interests.
For instance, I had ' the King' archetype - 'Only I know what's going on, I don't need to explain it to you'
He's in the power, and used to hunt witches and pagans, but he learned something about 'sides' the hard way. To correct his past mistakes and protect the ones he love the most, he manipulates the MC's life shamelessly using his power. Although he develops a fondness for her, he's often her antagonist, because he always decided for using her and everyone else for his greater goal - which is, in the end, protect the ones he loves, even if they don' acknowledge it.
The Hunter archetype - 'You did wrong and you must pay'
The Inquisitor, a man blindly guided by his dogmas. Is he a bad guy? No. It's like Javert, from Les Miserables. Kind bureaucratic, I guess, and a bit short-sighted. Not a bad guy, but a powerful antagonist (not that my character is that good and fleshed).
The Envious type - 'Why her?'
sometimes, and it's a valid and very common trope, envy is a powerful motivation for antagonism. The only reason is the perception someone has something you think should be yours, be it real or not. It can be more than the stepsister boycotting the romance, it can be as powerful as Cain and Abel. Also, good plot twists when we discover the real antagonist was in front of us disguised as a lamb!
Imaginary Reverse Blackmail type - 'She can't judge me, how dare she?'
That's how I call it. A character becomes the antagonist out of a perceived rejection. But looking further, he's using all his power to destroy the protagonist because he truly believes the protagonist knows something or despises him for something shameful. And the protagonist doesn't give a shit for this secret.
The pure type _ 'I'm too exalted and close to God to lower myself and understand your sinful reasons,' type.
The Reigning Queen type - 'I fought hard to be where I am, I'm a queen in a land of kings, I must secure my power the way I can, and you are a problem to my plans.' From seduction to murder plans, you know, this type will do anything because she's just don't want to become a frog anymore.
Deranged reasons - 'You won't feel so lonely again...! Look at this, my son!'
I guess it's the classic 'warped logic' as you said. A minor supernatural antagonist that had minions he used to see as 'protegés' and family, and when they see them sad, he goes out and brings 'brides' for them... It's just plain and obviously warped logic, not much elaborated, anyway.
The rogue - 'What's in it for me?' There were plenty of rogues in my book. They change faces a lot, and can be more dangerous than the openly antagonists. For money, mostly.
For me those are perfect valid antagonist types and I used them in my last novel, as I said.