This might be because anything after the original Ojamajo Doremi counts as a Post-Script Season, but one thing that really bugged me was the Queen election system via the MAHO Dou. In episode 20, Majo Rika wanted to keep the shop because it's tradition that whoever owns the shop ends up becoming The High Queen of the Witch World. All of that is completely forgotten about by Sharp, where it's decreed that the babies born from the Witch Queen Rose will become the Queen, i.e. Hana. You could say that every millenia when this doesn't happen, people would probably use the election system but given the lifespan of witches, it doesn't seem likely.
The Queen can abdicate at any time, so it's possible that there's a need for a backup if there's no heir ready. Alternatively it could be a prophecy thing, since Hana does end up spending a lot of time at the Mahou-dou
In the novels it's explained (or retconned) that the Queen election system is used if there's no heir born during the Queen's reign, which is rendered obsolete once Hana is born
It's also implied that seniority dictates who the Witch Queen is, as Mirai and Yume are the younger sisters of the Witch Queen and Hana specifically.
In the case of Majo Tourbillion, there was a moment where the Witch Queen no longer ruled over the Witch World. Meaning that it couldn't really be a retcon and just a late explanation.
Would Tamaki become a witch apprentice had she successfully said "Are you guys witches?" If not, who would?
Given that whoever accused the witch has to become her apprentice so the witch can eventually be turned back by that person specifically, then yes, Tamaki would have to be the one to become an apprentice; however, given the fact that Majo Rika could take as many apprentices as she wanted (Or rather, could afford to) and even inherited the apprentices of others like in the case of Onpu and Momoko, I'd say there is nothing preventing everyone who found out at that same moment from becoming witches and wizards themselves, and to me this would have been the preferrable outcome since then the girls would be able to remain witches and still remain in contact with their friends and families.
Since the anime is aimed towards kids, there's bound to be some headscratchers if things are taken too seriously. The Dokkan ending would lead people into thinking whether the decision and those tears were actually necessary/justified, and then into problems like: What's the big deal about the 'grudge' between humans and witches, besides issues on the witches' side like the longevity of stubborn witches? Analysis: First the concerns about magic not being accepted among humans. C'mon, how long has it been since the Witch Trial era? In present time there are many things no less controversial than magic, like nuclear energy; while magic would probably even help make huge breakthroughs in certain fields (like energy, or imagine if 'Pororin Pyuarin Hana Hana Pi, I want the proof of the Riemann conjecture to appear' is actually possible) with its great potential. Second argument: 'Humans should know how to handle magic correctly before they use magic'. This is ridiculous in two senses: 1, throughout history these things can only be fully learnt after utilising them. And 2, the goal that the human world shall become a world full of 'friendship and love' is unrealistic: By then we aren't even in serious need of social systems anymore. Meanwhile, a monarchy like that of the Witch World is actually a terrible model in disguise... and with the longevity of witches, even moral values among them would develop slowlier than humans if the worlds are separated. And as of Ojamajo Doremi 16, it's implied that the Witch World is already lagging behind in technology too. So the final nail: What good would it do for the witches themselves and the future of the two worlds, if the witches still refuse to open up to humans?
The series goes into a lot of details about the pitfalls of magic, and how some things are better with humans because they do not rely on magic. The few times where magic has become widely available (e.g. when the Witch Queen's Heart flower got loose) ended in disaster. Even amongst our heroines, who are unusually unselfish and certainly never have any malicious intent, they often misuse magic. Magic in the series is just way too insanely powerful, it's far more than nuclear power, it even extends to time travel.
Pop at the end of the series is about the same age as Doremi in the first season. Did the animators just always pull her stock image? She looks about as short in the last season (compared to adults) as she did in the first.
What would've happened if Doremi was a boy instead of a girl? Would he have been turned into a girl to become a witch apprentice (especially since later seasons reveal there is a Wizard World, thus having Magic Users be separated by gender)?
Why does Majo Tourbillion have children with a human if both Witches and Wizards are born from plants? We don't see any romantic relationships between Witches and Wizards, and the show treats them as separate species with their own rules.
The show somewhat implies that there is a bloodline of sorts between witches. Mota and Mota Mota's daughters have very similar features to their respective parent. However there are odd cases like the resemblance between the Witch Queen and Hana are slightly off, as well as Majo Rika and Majo Rin not looking like their mothers.
This could be because both Majo Rika and Majo Rin are adopted, which seems to be a common thing among Witches. Doremi herself is considered the adoptive mother of Hana, since she took care of her.
This could also be the case of genetics in terms of Hana. While the queen has bleach blonde hair and blue eyes, Mirai has brown hair and brown eyes (like Hana does).
Even though this is a children's show, how does Majo Rika convince the government that the Maho Do is a real shop? The show makes a deal of the girls working there, to the point where theres an episode where the girls get Dela to disguise herself as the shops owner to protect their secret identities.
