Interesting topic!

I would say Himemiya Anthy from anime series Revolutionary Girl Utena could easily be typed as an EII, although she does exhibit also typical SEI-Si characteristics (understandably, with fictional characters, they don't really have information metabolism and thus no sociotype so they are usually a mix of what a number of sociotypes tend to display).
Major spoilers for the entirety of the show:
While the audience may sympathize with her - she is something akin to a love interest for the main protagonist and also in a way, a 'damsel in distress' - she alludes to Lucrecia Borgia, as her all-consuming love for her prince, their morbid codependency, drives her to form relationships with others akin to political marriages, in order to empower her prince. She manipulates these persons skilfully (4D Fi) to her prince's own ends and once their uses are spent, she would leave them and if need be, stab them in the back literally as wel..