So I have a choice of the fare series on Netflix
- fate stay night (unlimited blade works) / 2 parts
-fate zero / 2 parts
-fate apocrypha / 2 parts
-fate grand order / 1 film
-fate extra last enxore / 2 parts
In the order you listed them. But it doesn't really matter because the series are mostly independent of each other.
You can take out Fate / Extra Last Encore. The anime is meant for PSP players and a little confusing for anime-only.
If you've watched the movie on Fate / Grand Order on Netflix, you'll need to switch to Wakanim because Fate / Grand Order on Netflix is incomplete.
There are several routes on how to watch the Fate series. However, it all starts with Fate / Zero (Netflix). Then you can choose.
Saber Route: Fate / Stay Night Film (Youtube Netzkino)
Rin-Tohsaka Route: Fate / Stay Night: Unlimited Bladeworks (Netflix)
Sakura-Matou-Route: Fate / Stay Night: Heaven's Feel 3-part film
Then there's the Fate / Grand Order series that you can watch if you want. It takes place in a completely different universe, just like Fate / Extra and Fate / Apocrypha