Author Avatar - Shinji is, most of the time, a stand-in for Earth Scorpion, down to being quite a good gauge for which subjects ES took in high school. Earth Scorpion is, however, not above loading ANE!Shinji with character flaws and keeping many of the original ones. (ES' character flaws are verydifferent...)
The Comically Serious: Rei is somewhere between this and The Stoic, rather than the Extreme Doormat of canon. There's a number of hints that she knows exactly what is going to happen...and finds it slightly amusing.
Creepy Child - This version of Rei is actually Creepier Than Canon,; she knows things she shouldn't, and doesn't even appear to think like normal people. That is, more so than usual.
Expy - Rei cannot be an expy of Nagato, because in ES' words, "[they are] already seperated at birth."
The Fatalist - Comes as a result of her precognition.
Improbable Aiming Skills: Rei shows this during Operation CATO. Sure, some might say that both prescience and clairvoyance are cheating, but she is undeniably effective.
"Miss. However, the arcanomagnetic field of the charge beam destabilised the containment arcanomagnetic fields of the ventral 'null rays' mounted on the nose of one of the Swarm Ships. Sadly, that led to the release of a small amount of antimatter, which was enough to totally destroy the ship. No entity survived. Two other Swarm Ships, and a Drone Ship suffered non-negligible hull damage in the blast, although they remain operational. Cooling cycle in process."
Psychic Powers - Rei has sensory and precognitive powers and whatever she got from Alma.
Race Lift - Rei is a sidoci, a white xenomix. This is not as much having her race changed as having one assigned for once.
Tranquil Fury - Rei's "anger" has the temperature of Bose-Einstein condensate.
Race Lift - Asuka applies makeup twice daily, wears contact lenses and dyes her hair, because of "the other girl" who may or may not simply be a skin colour she doesn't like.
Lethal Chef - As usual, but with a far darker (and perfectly appropriate) reason): because of nerve damage from an old injury, she has almost no sense of smell or taste, and has to spice her food to near-toxic levels to be able to enjoy it. She just hasn't learned to make separate portions for everyone else.
Scars Are Forever - Subverted in that Misato's face was rebuilt after her injury, and you wouldn't know she was even hurt until you tried to be in the same room with her cooking.
Ritsuko Akagi
Arbitrary Skepticism - The Evangelions going berserk because of... self-preservation? Impossible!