Are these birds in video real? What are they called?
Yes, they are real, that's not a CGI. That footage belongs to The Cornell Lab of Ornithology, and those are birds-of-paradise.

The first one is a Wilson's Bird of Paradise (Diphyllodes respublica). Here is an image of it:



The second one, showing a courtship display, is a Superb Bird of Paradise (Lophorina superba). Here is an image of it:



And the courtship display:



The third one is a King Bird of Paradise (Cicinnurus regius). Here is an image of it:



The next one is the Wahnes's parotia (Parotia wahnesi). Here is a picture of it:



The last one is a King of Saxony Bird of Paradise (Pteridophora alberti). Here is its picture:



Finally, here is the only correct way (just kidding) to watch any video with birds of paradise: narrated by David Attenborough! Have a look: 

https://www.youtube.com/watch?v=nWfyw51DQfU