Lloyd
"I... just desire the power to create a utopia."
Initially, Lloyd's existence is of little concern to Miranda. While Dart's group is chasing after him, he has done nothing to Mille Seseau. Miranda has so little concern of him that she claims they can kill him anytime. It is only when he kidnaps Queen Theresa that she gains a reason to attack him. Not only did he kidnap her beloved queen, Lloyd also manipulated and broke Wink's heart.
However at the same time Lloyd also saved Wink's life twice and Wink loved him enough to shield him from Dart's attack. Given this, it's like Miranda is conflicted about hating Lloyd. While he is a threat to Mille Seseau, he hasn't actually harmed anyone. This is quite different than Dart or Albert's feelings as they lost Lavitz at his hand.
Divine Dragon
Miranda first learns of this monster release from her Knights' reports. Dart and his group arrive with Luanna and Setie and confirm that its awakening. Miranda is determined to stop the Divine Dragon from destroying her home. Deningrad comes under attack while she is returning from the Forbidden Land and attacks Crystal Palace. Luckily Shana saves the inhabitants with her special power however Miranda is horrified that her sisters and the Queen might be dead. This furthers her resolve to stop the Divine Dragon once and for all.
The Divine Dragon does not specifically hate Mille Seseau. Rather it hates the Crystal Palace as it was once a Wingly capital. It also wants to destroy everything in its anger and hatred. The Divine Dragon was an unruly beast that neither the Winglies or the Humans could control. Even if it had not attacked Deningrad, the Dragoons would have had little choice but to stop it from attacking anyone else.
Zieg Feld
"My hands start the world, and my hands end the world. Yes! Fate desires it."
Miranda never directly interacted with Zieg. She chases him along with the rest to protect the world and stop his ambition. Unlike Dart and Rose who are chasing him for their own reasons, Miranda is doing it for the greater good of her kingdom. As such, neither Zieg nor Miranda have a particular history towards one another.
Melbu Frahma
"In order to obtain an eternal body that is proper for an immortal soul!! And now, I am becoming a god!!"
Miranda does not learn of Melbu's existence until they defeat Zieg at the Moon That Never Sets. At this point it does not matter who is trying to become the God of Destruction, they must be stopped at all costs to save the lives of everyone on Endiness. Miranda wishes to defeat him to learn the truth of Soa's fate.
