Gunbuster 05
Some references in Takaya's room. I can see the inspiration taken from Yamato in this episode.
Again this episode demonstrates some great character writing. While Takaya is on Earth she meets up with her old classmate Kimiko. Due to space travel, time has progressed much faster for Kimiko than Takaya. Kimiko has aged several years, is married and has a child. Time is relative and Takaya has only experienced a few months apart from Kimiko yet her maturity is on the same level as the much older Kimiko.
On the tram ride down to the mission launch Amano attempts to keep face. The words coming out of her mouth completely contradict what she feels inside and it shows in her facial expressions. She breaks down at the worst possible moment but Takaya is there to bring her back to reality. The role reversal of Takaya and Amano's relationship in the moment of crisis enforces Takaya's growth.
After that moment of weakness, cue the cheesy music and super robo yelling. It's campy, silly and over the top. Amano remains the calm, analytical pilot while Takaya shouts her attacks into the void of space. I guess it works for their characters but I don't think the contrast between the previous mental breakdown and the yelling works on a thematic level.