Mobile Fighter Evangelion/Shout-Out

• Misato's bike, per Word of God, is "basically a 'Go Go Gadget/SpeedRacer' homage to Akira"
• The random assortment of gadgets (including a grapple gun!) that Gendo pulls out of his cloak brings to mind images of a certain caped crusader.
• In Episode 3, Gendo engages in a cathartic "ritual" following his meeting with the Instrumentality Committee. His behavior is a Shout-Out to Christopher Walken's character in The Country Bears.
• In chapter 4, all the teachers at the school... well, the chapter's title is Meet The Team, if that tips you off.
• The large, robotic body that we first see Randall (Ritusko's cat) in is basically Dog.
• The anchorwoman for the local news in Tokyo-3 is named Trisha Takanawa.
• The second 'NERV propaganda' video is a pastiche of the Valve video "Meet the Heavy".
• Keel Lorenz (yes, THAT Keel Lorenz) wrote a book titled Second Impact: The Book.
• A few cults centered around Angel worship are mentioned in Episode 5; one of them is The Light of the Divine, which is a recurring enemy in the Superwomen of Eva series by orionpax09 and Mike313.
• A double reference to Half-Life: the gravity manipulation machines are called Freeman devices after their inventor. The Unobtanium needed to make them work is called Kleinium.
• An Episode 7 flashback reveals that Ritsuko's cat Randall (playfully) attacked a GEHIRN scientist by the name of Dr. Molina with Dr. Octopus arms.
• Rei reveals that, during the Mexican Campaign of 2010, she killed Roberta.
• The Jet Alone's debut in Episode 8 is one gigantic Shout-Out to the Super Robot. The Jet Alone itself (well, part of it, at least) is a Shout-Out to G Gundam.
• The crashing of the Jet Alone debut by Gendo was directly inspired by this scene from FLCL.
• The third NERV propaganda video is a pastiche of a Cave Johnson commercial. Here's an example.