These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
He lives in a giant castle that's really a space ship filled with hot maids who can fight (at least one is a robot), he's a super intelligent scientist who invents giant mecha in his spare time, can kick ass, makes a horse do physically impossible stunts, is obecenely rich, and does cool poses just for the heck of it.
Sandman: BOW DOWN TO OUR HEAVY METAL GOD! GRAVION!
Fridge Logic: (Hugi having only one control panel and one off-switch for the Genocidron System, as well as not just broadcasting pictures of his neice Leele Zeravire to them all, which is said to cause them to shut down automatically.
When Ayaka dons the Raven mask, her boobs shrink for no reason. While it does cover the fact she's a woman, maybe it's due to Form-Fitting Wardrobe, but is there ever any explanation about why her boobs suddenly burst out when she removes the mask? And she wasn't even doing anything to get any concealments off, either...
It's the mask. The picture of the previous Raven (Luna's father) looks exactly like the current Raven (Ayaka). The mask also changes the wearer's voice. Safe to say the mask would be able to alter her bust size if it can alter her hair, voice, and musculature.
It's an Obari production, so it was likely done for fanservice
Ho Yay: Eiji and Touga, mostly because Touga doesn't quite get the intricacies of human relationships.
Les Yay: Heavily implied with Ayaka and Mizuki, to the point where the latter is shown getting completely wasted over her missing 'friend.'
Narm: Very localized version, but hearing the characters gushing with joy over an amusement park called "Grand Island" is unintentionally amusing for those familiar with the relatively ordinary city of Grand Island, Nebraska.