I’ve worked on and off on constructing just such an influence map (mostly interested in answering the question of how did 90s anime become what it was)
The corollary questions to answer this are “How did cyberpunk fiction seem to appear in japan at almost the same time as it did in the west?” and “Why did western cosmic horror become entangled with near future sci fi stories in japan?”
I feel compelled to blame Hiroshi Aramata for the latter and Katsuhiro Otomo for the former question.
Anime Cyberpunk is pre-occupied with questions of identity and nihilistic self-annihilating leanings pretty much from the beginning of this subgenre, and these questions stem not from science fiction but from the pulp horror background that informs people like Chiaki J Konaka and Hideaki Anno. What better stand in for inscrutable alien horrors that don’t care or acknowledge human existence than capitalist mega-corporations? Given the constant literal and figurative dehumanization implicit to cosmic horror, it is natural that the cyberpunk stories influenced as they are by horror fiction take on a more psychological tone. Konaka’s acknowledgement of HP Lovecraft are as obvious as naming a half-naked robot woman interrogating her humanity Armitage (released slightly before the first Ghost in the Shell movie, giving away the game that all of these things are borne from related cultural influences).
Hideaki Anno, on the other hand, was an otaku first. He certainly watched and/or read Hades Project Zeorymer, which produced the template for Shinji. It is not a very good anime, but Anno did borrow the premise of Evangelion from it: religious iconography, a boy that is forced into piloting super robots against his will and hates it (the ironic counterpoint/more psychologically realist version of the Gundam conceit), parents that hate him and a conspiracy that has lied to him and groomed him for the task he resents. Some iconic scenes and a general sense of derealization were taken from the excellent MegaZone 23 Part 1, which introduced a gnostic, almost Philip K Dick, angle to the cyberpunk story. Youths rebel against militarized corporations that maintain the illusion of 20th century life through popular culture. The most iconic scene borrowed was that of the subterrene inverted city, an image that literalizes the gnostic philosophy that forms the basis of the story.
Oops this was kind of a messy torrent of words.