Lies and slander. Lies, and slander.
Evangelion Unit 01 couldn't be beaten by a measly Gundam, especially the ill-equipped Wing. Unit 01 not only has the ability to end all sentient existence and merge them into a singular entity, but as of post EoE canon it has the Lance of Longinuss, as well as S2 organs (The answer to your comment of being unable to sustain constant power) aided with the capability of near instantaneous regeneration, an AT Field that if used properly can block out nearly all structures of even subatomic matter as well as reject them entirely causing them to annihilate themselves, and a caring mother's soul who would be intent on destroying the whole of existence simply so her son can decide what he wants. Even going as far remolding reality, as well as human consciousness after her son rejected instrumentality in EoE. (As depicted in RoE.)
Last time I checked Gundam Wing could just transform into a bird with a big gun. . . And somehow it's going to beat EVA 01? I mean come on, even Unit 02 could annihilate Gundam Wing simply by removing the plug depth limiters and going into a vicious berserk mode. (Once again RoE)
Of course while compared to all the things you have listed, considering interruption of time, remolding of reality, breaking dimensional barriers, creating black holes, it does mean that it could possibly be destroyed by those. But that being said, if you want to play like that then Makoto Konno, from The Girl Who Leapt Through Time, could just go back into the inception of all of the things that could possibly win in an actual fight, and stop them from being created/destroying the creators/killing the subjects. Even Haruhi and Lain would be subject to the fate, simply by Makoto going back and ending their lives to before before they awakened and discovered their own natures, respectively.
In the end the fights would be based on the fixed rules of the realities of every anime separately if superfluous theoretical reality/time/universal modification would be in play, due in part to the nature of them all being too conflicting to merge into a singular universe for a combative field of play.
But either way, it's agreeable that without abilities that bend reality to an abstract sense, EVA 01 would win with it's Absolute Terror Field, S2 organs, and Berserk form.
For the sake of fairness, that's not considering it's form from the end of RoE's second installment, where it could have annihilated all of reality in a single instance if it wanted.