The ending of the series. One can not help but keel over and laugh at how brilliantly executed and awesome it is.
Among the many, the person who translated the dub mentions in the translation notes that his favorite is Tylor playing virtual Whack-A-Mole in a burning room (which his hammering set on fire in the first place.)
Dom and Shia Has' ...expressions after hearing that their Empress wants to see her Paco-Paco again...
Tylor making the aptitude test AI Self-aware, getting it to "cum", breaking it's "heart", and overloading it's mainframe in the space of five minutes. Completely by accident. Maybe.