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.
In-character, the manager of the Maid Latte cafe, Satsuki, is fanatical about all things moe. She's pretty much Ken Akamatsu in a skirt. And an Usui x Misaki supporter.
Sakura's character is all made for this purpose. There isn't a single moment where she's not acting moe from some angle. You can't blame the hard-boiled Misaki to care for her when she's about to tear up.
Yukimura too. It's a wonder he doesn't just get kidnapped walking down the street.
Theme Pairing: There is apparently a miniscule fanbase for Shizuko/Kanou that ships them mostly because they both wear glasses and are the voice of reason for their respective Those Two Guys/Those Two Girls pairs.
With the recent revelation that Shizuko apparently has a thing for glasses, maybe this isn't so farfetched after all.