Pretty much all of Hawaii's native species.
I tend to agree that anything humans had the primary hand in extinguishing should be the first priorities. Whether that includes Neanderthals or not I don't know but I wouldn't include them because they would essentially be slaves. As non-humans they would have nothing more than the rights of animals.
For the sheer fun of it, I'd like to see moas, dodos, rocs, aurochs, ground sloths, cave lions, Barbary lions, giant goanas, Haast's eagle,
Argentavis, Irish elk, and for an added extra special just-because-we-can, and ankylosaur.
One spectacular species very close to extinction is the legendary Hoan Kiem giant turtle from Vietnam. It is known to live in only one small lake in downtown Hanoi and there may be fewer than five of them left. We know so little about them, despite being in a tiny lake in a major city, is that they are seen so rarely that scientists didn't even know it truly existed until 1998. Prior to that the giant turtle only appeared in Vietnamese myth.
It is a big turtle. One specimen weighed over 400 pounds and measured over six feet. They may grow larger but no one really knows as years pass without any indication that they're even alive.
It would be a shame for a mythological creature to be brought to life only to lose it again a handful of years later.
You can read about the
Hoan Kiem here.
