Season 1 Episode 5: Shirley breaks the sound barrier.
Season 2 Episode 2: Mio in general, including when she leaps from the transport to kill the Neuroi the first time around, and when she uses her sword to slice the Neuroi's beam the second time.
After being Neurofied, the battleship Yamato takes off from water and was actually doing pretty good by taking advantage of its regenerative abilities while shooting down an armada of Neuroi ships until the main cannon gets jammed.
Season 2: Our lead girl is having trouble flying but no one can find anything wrong with her turns out she was too powerful for her Striker with her friend left alone to defeat the Neuroi she gets the new Prototype striker then creates a magic circle that DWARFS the Yamato. Hell the entire episode is a CMOA from her effortless healing the crew until there is no one left to her Lucchini style drill attack on the Neuroi.