He may be the only one discussed in detail, but I think you're missing the point that in a number of Suttas on the Gradual Training it is described as a generic thing that a follower of the Buddha does, and is clearly not exclusive to the Buddha.
I know these suttas well. Rod Bucknell even has a theory that originally the Buddhist path included remembering the past lives, etc.
However evidently this is quite an optional part of the Path.
IMHO, the Buddha just explained the Path in its fullest, with all that can be done, and all knowledges that can be attained. Obviously very few of his pupils attained any significant part of it.
mikenz66 wrote:The question is, apart from "omniscience" and related skills, is there any difference in the awakening/liberation/whatever?
"Bodhi" is somewhat poetically rendered in English as Awakening, but it is actually about comprehending (bujjhati).
So the difference in "Bodhi" is, firstly, that Buddha comprehends on his own (that's why he is called 'Buddha', "one who comprehended on his own"), while his followers do so with his aid.
Secondly, the difference is in amount of comprehension. Only the Buddha attains the knowledge of omniscience, and the "Three Knowledges".
His followers attain one Knowledge, the ending of leaks (asava), with a very rare exceptions of those who attain more Knowledges, but not omniscience.