Typical reaction upon first seeing the Daedalus Attack: "Dude, did the Macross just punch a battleship in theface?" Considering that the arms of the SDF-1 are spaceships, it's literally punching battleships with battleships.
Interestingly, we know that Vrlitwhai and Exedore had that same reaction. Followed by summoning reinforcements.
Misa gets her tactical moment, coinciding with the Macross' super robot moment in Ep 06 "Daedalus Attack". After the main gun fails to fire due to the interference from the pin-point barrier system, Misa gets the pin-points to concentrate on the bow of the Daedalus (right arm) and punch through the bow of Zeril's battleship. The Daedalus opens up and all 587(!!!) Destroids open fire into the innards of Zeril's ship. No other anime has this and no other should.
Captain Global shutting Kaifun up in episode 26 without even raising his voice
Hikaru's moment comes during the epic "Force of Arms" "Love Slips Away" episode, which starts with the near-destruction of Earth and ends with the destruction of the main Zentradi fleet. While his Valkyrie disintegrates, he returns to Earth to rescue Misa.
Breetai gets thrown into space in the episode where Hikaru boards his ship. Breetai manages to walk across the ship to another airlock and then beat down two Valkyries with a pipe.
A UN Spacy Zentradi infiltrator soldier makes a fake distress call to Kamjin and gets his cigarette lit up by allowing a Valkyrie fire his assault rifle in order to use the muzzle flash as light.
The first, and last, stand of the Grand Cannon lives up to its name even if it was to be useless in the long run. The novelization makes it a little more delicious by stating that the Zentradi never lost so many ships so quickly.
Maximilian Jenius' first battle. When Kakizaki fails to live up to his boasts and has to be rescued by Hikaru, the two lose track of the more modest Max. They find him destroying battlepods left and right with deadly ease.
It should be noted that the above battle was Max's first ever combat mission, and yet he downed nearly twice the number of enemies as his commanding officer, series protagonist Hikaru Ichijo.
Let's not forget that in-universe, Max is the first person to marry a hot alien babe, and had seven(!) daughters with her by the start of Macross 7.
The way he proposed to said wife also counts, she attacks him with a knife and Max disarms her and then asks her to marry him.
Don't forget their marriage either. Remember the scene at high-profile marriages where a line of guys cross their swords above the couple? Macross does it with Valkyries in Battroid mode crossing their guns' muzzle flashes. And don't forget about the Macross-shaped cake either.
Oh, and the jaw-dropping dogfight with Milia (the hot alien babe mentioned above). Max comes out on top, proving that by beating the best Zentradi fighter pilot, he's technically the best pilot in all the Macross universe.