New World Vultures are in the Accipitriforms too but as Cathartidae rather than Accipitridae like the Old World vultures. People say that the new world vultures and old world vultures are prime examples of convergence evolution where two species adapt for the same purpose (in this case, eating already dead animals) and evolve into a similar body structure without having evolved from themselves, if that makes sense?
New World vultures did not evolve from the old worlds, instead they evolved completely separate from them, probably from storks (unlike from eagles and hawks like the old world vultures did). It's weird, but that's what scientist think lol
Another example of convergence evolution is the Thylacosmulis and Smilodon. Thylacosmulis was a marsupial saber tooth and smilodon was a saber toothed feline - totally different family tree but both evolved for the same purpose.