Harming her master or even his belongings is a good way to piss Ann off.
The same can be applied to Lene.
Book Ends: Episode 8 starts with Ann and Hina playing a game with Lene while Ines carries a bottle of "grow me big juice". The episode ends with Ines carrying the exact same bottle which freaks Ann out.note (See Dream Tropes below)
Brainwashed: Hina has her memory reset by Shinki collector Jindou at the end of episode 11 and for most of episode 12.
Cloudcuckoolander: In episode 4's race, as the racers break the rules more and more, Ianeira finds flimsier and flimsier excuses to keep the race going, all while keeping that sweet, nonchalant tone of hers.
"Freaky Friday" Flip: Ann has her mind swapped with a Strarf model (Later revealed to be Hina) in the OVA.
Freeze-Frame Bonus: Pausing at exactly 22:06 in episode 12 and reading the box in the background labeled "2" reveals an entire summery of the original ova "Busou Shinki Moon Angels". And it isn't a mythology gag - It actually comes out and explains it, and even uses on the a voice actor from both series' as an example.
Robot Maid: Lene insists 'Maid Armor' is required for cleaning, 'Apron Armor' for cooking.
Saving Christmas (sort of): A weird combination of Santa's Sick and the Sleigh is Broke. Ann's job is helping a Santa Shinki named Tsugaru in delivering presents for a promotion. After they split up, Tsugaru is injured while playing with a dog and cannot complete her part. Ann takes over and while delivering the last present, gets caught in a snow storm sending Tsugaru's armor and sleigh crashing into a tree, which throws the present high up on a building and the sleigh running off. Ann has to get the help of Hina, Ines and Lene to get the present back.
Valkyries: Both Lene's model type[Altene] and Ines'[altines] are called "MMS Valkyrie".
Verbal Tic Maochao and Lene. Maochao's "Nano-da" was also used in the Battle Masters videogames
Wacky Racing: Episode 4. It starts out normal enough with all participants using the same cars, but quickly degenerates as all the racers fall into a trap pit on the race track. After that, the rules regarding what is allowed and what is not gets slimmer and slimmer.
Maryceles: This isn't a race anymore!
Wretched Hive: Episode 9. It feels like the plot is a parody of something.