Second one: Terror bird. This thing hunted horses. It went extinct around 2 million years ago. It couldn't compete with the sabred cats that migrated to its continent when north and south America joined.
With remains of that family of birds now found in Europe and Algeria, it's actually discussed that this kind of bird could have survived longer than that, as it has so many clear parallels with the Roc. On the other hand, the mainstream theory about the Roc goes more about travelers from Eurasia meeting ostriches, and not having seen flightless birds before, mistake the ostriches as the chicks of some gargantuan bird of prey.
The Nintendo eShop rating Thread: http://gamrconnect.vgchartz.com/thread.php?id=237454