Should I wait with watching NGE? I (19/M) am afraid that I wouldn't understand the deeper meanings behind the story and it would ruin my experience. 

I am thinking about reading the Bible (already started) and learning some basic psychology and philosophy. I remember a few things from high school, but reading some Berntrand Russel, or Will Durrant shouldn't hurt.

I want to do these thing anyways, but I am interested hether I should wait with the anime.

(The question applies to GitS, Texhnolyze, Ergo Proxy, SEL, Haibane Renmei and LotGH too.)