There are no indications that there are not other Noldor who have tarried in Middle-Earth—quite the contrary, in fact. There is no reason to think that Galadriel was unique in being concerned that she would be not be allowed to return to Elvenhome; any who participated in the revolt of the Noldor and swore the Oath of Fëanor are presumably in the same situation. So a number of the elves who appear, especially in The Fellowship of the Ring may have been born in Aman.
Of particular note is Gildor, who tells Frodo
‘I am Gildor,’ answered their leader, the Elf who had first hailed him. ‘Gildor Inglorion of the House of Finrod. We are Exiles, and most of our kindred have long ago departed and we too are now only tarrying here a while, ere we return over the Great Sea....’
This certainly makes it sound as though he (and probably at least some of the others in his company) came back from Aman during the Elder Days. This is further reinforced by the hymn they had been singing, which ended:
O Elbereth! Gilthoniel!
We still remember, we who dwell
In this far land beneath the trees,
Thy starlight on the Western Seas.
All of these indications could be interpreted as referring not to the Elves like Gildor individually, but to their ancestral families. However, the plain reading seems to suggest that Gildor, among others, really do remember the starlight over the seas off Tol Eressëa.
Others among the Elves of Rivendell are probably also from the original Noldor contingent that crossed the sea. Gandalf says so:
And here in Rivendell there live still some of his chief foes: the Elven-wise, lords of the Eldar from beyond the furthest seas. They do not fear the Ringwraiths, for those who have dwelt in the Blessed Realm live at once in both worlds, and against both the Seen and the Unseen they have great power.
Narratively, this is (part of) the explanation that Gandalf gives Frodo of what Frodo saw at the Fords. As he was slipping into the Unseen world, Frodo could see that Glorfindel was just as strong on that side of the curtain as on the Seen side. However, while Glorfindel is, after Elrond, presumably the most powerful of the Noldor remaining in Rivendell, it is probable that several of the other senior members of Elrond's household had also come from the Blessed Realm. There were several such individuals attending the Council of Elrond; only Erestor is identified by name, but he and the others were probably among the original exiles from Aman.
The other named Elf at the Council of Elrond is Galdor, who was there as a messenger from Círdan. Galdor could also conceivably have been either Noldor or Sindar. Círdan himself was among the Sindar, but had been among Teleri leaders all the way back at the time of the Great Journey and seems to be treated, by virtue of his extreme age and wisdom, as basically equivalent in craft and lore to the Noldor. He, like Elrond, may have surrounded himself with Elves from both kindreds at his home by the Grey Havens.