[Willemijn]

It's harder to define what he means by greatness, but it is a combination of social standing, achievement, power and respect.

Not so sure that´s right, so Feanor and Galadriel back in Aman, being described as the greatest had better social standing and respect, than say Ingwe? For me greatness= spiritual power and the things you stated to some degree. I think that "Greatness" for the most part is something the elf is born with, some gift and not something that elf can achieve in life

That being said Glorfindel is a very special case and the quotes about him put him in his own league. Before his death, Galadriel was probably a greater power, but not after he returned.

So you think Glorfindel is the mightiest, spirituel most powerful in existence (after Feanor and Luthien dead)?!?! Even Earendil? I also don´t think that Earendil is spiritual more powerful than Galadriel, to my knowlege there is no quote to claim that.

I think IF Gorfindel would be standing out that much Tolkien would have mentioned that more direct and not only stating that his spiritial power has been greatly enhanced and at the same time stating that Galadriel was not to beat in spiritual power.
I think many elves that were rebodied would have that special air of power and almost angelic glow, only Glordindel happend to return.

And by the way Inziladun, Finrod was re-embodied. He walks with his father in Eldamar.

Well, more important to you. However, arms comprise one aspect of power, wisdom another, crafting another, and song/magic yet another. Taken together, she doesn't reach the peak of the pyramid occupied by some others.

OK, maybe she wasn´t that good a warrior but who was better in wisedom or song/magic (besides Luthien)? I think in wisedom, songs/magic, she reaces the peak of the pyramid, maybe even in crafting (besides Feanor) if we take the starglass and the mirror into consideration.

Tolkien only describing her as the mightiest Noldor to remain the 3rd Age means there was at least one other Noldor more powerful.

I think in this case mightiest also means poticital power, she is only mightiest after Gil Galads dead, cause he was the king, and she wasn´t more influential than he was, but after he died, Galadriel had that sort of might Gil Galad had, only with less elves. But I don´t think that Gil Galad was spiritual more powerful than her.