Preliminary: The order by appearance(anime) is: Bake -> Nise -> NekoKuro -> 2nd season(NekoShiro) ->Kizu.
The chronological order, however, is: Kizu -> NekoKuro -> Bake -> Nise -> 2nd series(NekoShiro).
In principle, however, the order doesn't make too much of a difference as long as you watch Nisemonogatari after Bakemonogatari.
The main character Koyomi Araragi involuntarily became a vampire during the summer holidays. This could be the beginning of a Japanese version of Twilight, but he gets help from a mysterious man named Oshino, who helps him to become human again, at least for the most part. That still leaves his superhuman eyesight and his regeneration abilities. Especially the latter proves to be helpful very quickly, as he likes to be taken apart by a curiosity, as the supernatural creatures from old legends that keep popping up are called. That's how he meets Senjogahara when she falls from the sky one day - because she has almost no weight.
Bakemonogatari can probably be called anything but a normal anime. You are mercilessly thrown into the middle of the story and lack a lot of background information despite the facts thrown in every now and then. Especially the walls of text after the intro of each episode made me despair. I don't recommend anyone to watch this anime without a second-by-second plugging function, because these walls of text contain important background information, but are gone again within half a second...
The anime consists mostly of conversations, if you are looking for an action-packed anime this is not the place for you. The conversations are mostly confused and jump from one topic to another. Above all, Japan insider facts are discussed very often, such as the meaning of kanji. I would have liked to see more comments from the subber teams, as they often fall by the wayside. What I liked, however, were these small gestures that were not discussed further, but which gave the characters a quite human character despite the confused story. For example, in the first episode I could mention Araragi's behaviour of constantly holding his pen in front of the student council president's glasses during the conversation in order to imagine what she would look like without them.
Monogatari has a lot of fanservice, which is usually seen in a negative light, but in Monogatari it didn't bother me that much. The story is told from the point of view of a (pubescent) boy, so it would be more unrealistic if he had his eyes under control, especially if you already have super-sharp vampire eyesight. Besides, most of the scenes are so abstract that you would probably have to worry if you were aroused by them...
But if you don't let these things put you off, you're still dealing with a well thought-out, eventful and promising anime. So if you are willing to deal with this universe a bit more and don't just want to be entertained, then you can watch this anime without a guilty conscience.
Some may now ask: What actually makes this anime so worth watching? For me it was several factors. The storytelling is completely new to me, the production reminds me more of a script or a play. I really liked the atmosphere. Also the drawing style and colouring is in some cases extreme but fitting. I liked the music very much, and it should be mentioned that every time a new character was introduced, a theme song adapted to that character was made as an intro, which shows that a lot of effort was put into this anime by the developer studio. The voice actors have also been carefully chosen and fit perfectly into their respective roles. Some of the voices might sound familiar from anime like Angel Beats! The biggest plus, however, is the unbelievably twisted love story between two incredibly abstract characters, the likes of which the world has probably never seen before. The anime gets a clear recommendation from me, even though it is...simply...different. But isn't that exactly what you want in the constantly repetitive average anime?
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