It's true that you run right into the problem of which universe's genre rules to follow. I mean, Mamoru's background is roughly as tragic as Shinji's, and it is not as if Mamoru never fucks up, but he's in the Sailor Mooniverse, and so he gets a good shot at the "happily ever after". So Tuxedo Shinji would do just fine. (I'd mentioned in the Eva thread that I think that Asuka would totally dig the Tuxedo Mask treatment. Roses from a secret-but-not-too-secret admirer? Hell, yeah.) And if you drop Angels in the Sailor Mooniverse, you get SEELE summoning Angel youma (Purple-skinned elf girl with a funny hat and laser whip! Blue-skinned lady of the evening with lots of diamond jewelry that shoots lasers!), and they go down like any other adversary.Then again, I'm also pretty sure that planeswalking to the NGEverse is inherently traumatizing, so that might not work. (It's like how El-Hazard gives you superpowers, except instead of gaining true sight or super strength, you get kicked in the childhood.)
But if we cram the Sailors into the NGE rules, it doesn't go so well for them. Rei's estranged from her father and takes it out on others by coldly holding herself aloof from the world, and lashes out with a sharp tongue at anyone who gets too close. (She burns others down to keep them away.) Ami is gamely trying to pursue her eternally-absent mother into the sciences, building a wall of books around herself, from behind which she voyeuristically stalks the humans she's unwilling to approach directly. (She cloaks herself within mist.) Makoto's discovered at an early age that when she does what she thinks is right, she gets hammered down, so she twists and turns within conflicting social roles, and desperately seeks a man's attention to validate her existence. (Thunder and lightning, you can't help but notice her.) Minako, the First Child, grimly and efficiently orders the team in combat, and outside of it feigns enthusiasm with such desperate strength that others think her crazy and retreat from her smile. (Harsh light and "the chain of command" to deal out beatings.) And Usagi is convinced, absolutely convinced, that if she can just love everyone, it will all turn out all right. No matter how hard Commander Chiba uses her, no matter how many die, if she just says she loves them, it will make it all okay, somehow. (I'm shooting you with love. Stop crying! I love you. Please die quietly.) It has to turn out okay, right? RIGHT?
Well… maybe it can, with the power of the Silver Crystal contained within Lilith. But it'll be a bloody hard road to travel.
And the scary thing is that this isn't that far off from the canonical characters before meeting Usagi…
(Oh, and in case you're wondering, Luna and Artemis are the heads of Tactical and Technical department, obviously.)