**All** Raspberry Pis can play 1080p@30fps provided 

-  the video is encoded with a codec the Pi can accelerate (i.e. h.264) - note that filename extension
  doesn't always indicate the used codec correctly !
- the video player you use can use hardware acceleration (only Kodi/omxplayer till date)

You might need to buy a MPEG-2 license since the Zero is too weak to software decode such videos.
Interestingly software decoding with free software is legal in France , for example.