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This is all I have on names so far, as I finish the series I will post more.
First Names
-Shinji=shin ge
-Askua=aus ka
-Rei=rae
-Toji=toe ge
-Kensuke=ken skae
-Misato=me sat o
-Ritsuko=rits co
-Pen-Pen= pen pen(duhh)
-Hikari=hi car e
-Yui= you e
-Gendo=gen doh
-Kaworu=ko ru

Last Names
-Ikari= i car e
-Sohryu=?
-Ayanami=ah ni ah nam i
-Suzuhara=su zu hara
-Nagisa=Na gahs i ah
-Aida=aduh
-Katsuragi=cat sir ag i
-Akagi= ah ka gi
-Horaki=hor aki

Angels

Misc.
-Evangelion(TV title)=e vang i lon
-evangelion(the thing)=e van gel i on(say it fast not slow)
-Eva-ehva(enunciate on the "e" so it sounds like an eh(like "eh I cant hear you"))
-angel=ain gle(duhh)
Seele=say lay(no dont say "lay" but pronounce it that way)