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.
YMMV: Tsukuyomi: Moon Phase
Better on DVD: The DVD release has improved artwork, improved animation, improved fight-scenes... the list goes on. An entire episode that was aired on TV without any relevent video due to some issue with an animating contractor was transformed on DVD into one of the most intense and impressive episodes of the series.
This is Studio Shaft we're talking about. They (almost) ALWAYS improve the animations for the DVD / Blu-ray-Releases.
Complete Monster: Count Kinkel. In Elfriede's backstory, he impregnates a human woman, drives her insane, then comes back several years later to turn the resulting daughter, Elfriede, into a vampire and force her to kill her best friend as her first feeding. I Hate You, Vampire Dadseems like an understatement.
Crowning Moment of Funny: Of course, being a comedy series there are many, but notable is grandpa going on fishhunt with a harpoon, only to be revealed to wear a swan tutu with a swan neck at his crotch doing so. Sitting on a turtle.
Ear Worm: The opening theme, "Neko Mimi Mode" (more like "Neko Mimi Modo", seems to be specifically designed for this, with lines like "Neko mimi / Neko mimi modo / Neko mimi modo desu".