Spoilers, etc.

So long as it's in the Matrix, as it was in the first film and most of the second, then you're right. The uniqueness of Neo is that he has overcome the psychological border and knows that there really is no spoon.

BUT

In the end of the second movie he stops real sentinels with his mind, in the real world. Now that Revolutions showed us that it's not a Matrix within a Matrix, it's not just a mindset. It's bloody telekinesis, and normal people are not capable of it in the real world. Actually, nobody is, but suppose there was one person who was capable of it (let's call him Neo), then he would be very, very unique.

The Oracle also indicated that "The power of the One extends beyond this place". She definitely attributed Neo with powers that go beyond the usual. This could either make him a real messiah, a Jesus if you're Christian, or you could argue that he was mainly endowed with some brain transmitter that allowed him to see data transfers and interrupt them. That would be a bit weak, wouldn't it?