The Baroness: Rosa shows signs of becoming one later on in the story.
Crazy-Prepared: Clyde has apparently read the Evil Overlord List, as he makes Flandre quadruple password protected (plus an eye-scanner), and, in case of a catastrophic meltdown/disaster, she will go into hibernation mode, and cover her processors and memory banks with armor. She ends up in a back room of the New Versailles armory in Misery Loves Company, after the 700-year-long-nuclear war.
Disaster Dominoes: A more serious version, in combination with Chekhov's Armory. Cornelius kidnaps baby Rosa, Rosa grows up with him and learns this, Rosa runs away and strives to kill him, Rosa teams up with Clyde, who is developing technology to shove Cornelius out of Scarlet City for good—nuclear energy, specifically. Rosa and Clyde eventually blow themselves up with Cornelius, by unbalancing the nuclear reactors Clyde has set up all around his house. This causes the entirety of Scarlet City, which had fairly bad relations with a neighboring city in another country, to be blown off the map. The country takes Scarlet City's demise as a declaration of war, bombing said neighboring country. This sets off the full-blown nuclear war seen in Misery Loves Company, and, by proxy, everything that happens there.
Five-Man Band: The tropes depend on who you interpret as "evil" and "good".