To me FFOrigins' version of FF1 is by far better. I couldn't really play FF1 due to the annoying music and a slow pace of movement that made my head bleed.
I'd recommend you play the NES version first, at least for alittle bit. Why? Well, when I played FFOrigins' version I was amazed to hear all those old NES songs, only with huge updates. I loved seeing new dialogue where really crappy dialogue was before, and seeing how it evolved. It made me appreciate the update that little bit more.
