In the later ones there was latex yeah, and you are absolutely right that Morpheus had a sick leather coat.

I never really saw Reloaded and Revolutions.

Hehe, I just remembered when I first saw The Matrix, it was at a christian confirmation camp, and the main priest arranged it as it was one of her favorite films due to the philosophical topics it brought to the table. This was in Sweden and the camp was basically a summer camp with light religious theming.