You will not be able to get screening permission for any films on Netflix with the exception of documentaries for educational screenings.

Other than these documentaries, a film screening to film society members is considered a public performance and is forbidden.

However, documentary films that are marked on the Netflix website as educational and as having a certain licensing can be screened by community groups (which Netflix considers film societies to be).

The conditions are;

1. You are allowed one screening which means one film on one day, not the same film twice or two films on the same day.
2. The film must be supplied by the Netflix streaming service by someone with a subscription (not using a DVD).
3. By a not for-profit-group (which Film societies are).
4. You are not allowed to use the Netflix logo at all.

You can find more information here Educational Screenings of Documentaries