Sciguy001
CiV Great Scientist (duh)
UUs that do something 'different' or have a unique ability:
Minuteman/Foreign legion (Bonuses based on territory)
Camel Archer (Turns the knight into a ranged unit)
Chu-ko-nu (weaker, but has the ability to shoot twice)
Samurai: (Increased GG chance)
Naresuan's Elephant (Turns knight into a heavy infantry unit)
Sipahi- Free pillaging along with faster movement and more sight range
Janissary- Autoheal after killing a unit
Legion- Builds forts/roads
That's a vast majority that we have complete stats for. I'd consider adding the ones that are resourceless as well simply because that will be a huge impact (much bigger than it was in civ 4).
EDIT:
So you don't consider these units "unique" enough?
Musketeer- 4 strength stronger than its equivalent, and more strength than any unit in its time period. Also note that we don't know its full civlopedia entry, so it's quite possible that they have some other benefit
War Chariot- 1 move faster and needs no horses, for a unit that is already the fastest ancient era unit. Egypt at the start is going to always be able to field armies of unparalleled speed.
Hoplite - The strongest (I mean in terms of strength value) ancient era unit by a lot. Competes well with swordsmen despite coming earlier and being resourceless.
Companion cavalry: A faster and stronger version of a unit that is already the fastest and strongest unit in its time period? That's going to be interesting to say the least.
I see your point, but only a couple of the ones that you mentioned have a new unique thing like the Roman Legion does.