The combat system is the mechanics that allow the combos, not the combos themselves.
I would add Osiris and Aquila as well.
The former's forward move was pretty much Nero's Streak, its power-up was kinda like Exceed, except it's not activated by you but it's a passive ability, and of course its Prop Shedder is... well, the old Prop Shedder.
Aquila had a good amount of original moves but its main gimmick was of course pretty much the old Round Trip. It's even called the same, if I remember correctly.
Oh, and the angel and demon whips are of course Nero's Snatch.
I'd say the only two weapons that didn't have any of the old moves in their moveset were Arbiter and Kablooey, if memory serves me right (I feel people overlook Kablooey a bit too much btw), and in general, rather than Dante, I'd look at Vergil in that game if I was to talk about original moves.
EDIT:
Which one is Odachi? I don't remember any DmC weapon named Odachi.