Depending on which sources you believe, I'd order them as follows. (Quotes from UESPWiki.)
Aldmer. "Herma-Mora was an ancient Atmoran demon who, at one time, nearly seduced the Nords [Aldmoran proto-Nords, I'd say] into becoming Aldmer." But he's not the only one. "Auri-El led the original Aldmer against the armies of Lorkhan in mythic times, vanquishing that tyrant and establishing the first kingdoms of the Altmer, Altmora and Old Ehlnofey." Also, Orkey was "A loan-god of the Nords, who seem to have taken up his worship during Aldmeri rule of Atmora." And, "Atmoran myths depict [Shor] as a bloodthirsty warrior king who leads the Nords to victory over their Aldmeri oppressors time and again."
Falmer (Skyrim's lost race of elves, also the "ice elves" in King Edward) tried to wipe out the Aldmorans at Saarthal, and were hunted down and destroyed in purges started by the Five Hundred Companions, and continued until Fall of the Snow Prince.
Dunmer. Once Nords were established in Skyrim as the First Empire of Men, they expanded into High Rock, Hammerfell, Morrowind, and helped the Alessia's enslaved Nedic stock overthrow the Ayleids. (My perspective, from Spearthane: And the wussy Nedes didn't have the balls to hunt down and kill all Ayleids and destroy all their creations, like the Nords did in Skyrim. Why do you think Athellor had such a hard time finding any trace of them? The Nords just went through with what the Falmer started. Not that the Falmer didn't have reasons to start it...)