These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Broken Base: Whether Kuroko is considered an actual member of the Generation of Miracles. Currently, the wikia's stance is that he isn't, due to the fact that he isn't listed as so in multiple points in the manga and in the character bible, among other reasons. It doesn't help that the manga also lists him as being a member of the Generation of Miracles at some other points.
Die for Our Ship: not so much for the English fandom, but very much so in the Japanese fandom.
Kagami for the avid Aomine/Kuroko shippers ; Kuroko for the Kagami/ Himuro shippers.
Not to mention Momoi and Aida who are often pushed to the side in the fandom by their tragic nature of not being guys.
Draco in Leather Pants: Hanamiya is astoundingly popular despite being one of the biggest jerks in the anime. Not only did he make 10th place in the most recent Kuroko no Basket popularity poll, he's also voiced by Jun Fukuyama, a favorite among many anime fans.
Ensemble Dark Horse: Takao is really popular along with Kasamatsu and Miyaji according to the most recent popularity poll.
And now Akashi has taken Kuroko's spot as #1 in the third poll, winning by more than 2,500 votes.
Fan Nickname: Ahomine for Aomine, to go with Kagami's in-universe nickname Bakagami. (Both aho and baka mean "stupid" in different dialects.) Also Kisecchi for Kise.
RIMFIRE is another one for Kagami due to the poorly placed song title in the season 2 opening.
Apparently, Murasakibara is becoming known as 'Titan' or the 'Purple-haired Titan' due to his huge stature; the scene where he's chasing after Izuki makes it seem like a scene from Attack on Titan.
Ho Yay: It's only natural to find mass amounts of fangirlish squealing in a series that's rampant with teenage guys running covered in sweat while passing balls to one another in a contact sport. Not to mention the overall lack of female presence and each character's obsession with basketball.
Kagami/Kuroko is the obvious one, as the metaphor between 'Light' and 'Shadow' (and Kuroko declaring that he exists to bring Kagami into the light and writing in huge letters on the school courtyard that he'll make Kagami the best basketball player in Japan) and their gradual trust and closeness that culminates in them re-exchanging vows to bring the Generation of Miracles to the ground after their huge defeat by Touou.
After Aomine's visit, Kagami asks Kuroko what happened between the two of them in the past. The whole conversations plays like the current boyfriend being confronted by his predecessor and feeling insecure.
In the anime, what pushes Kagami into the zone for the first time is the thought of Kuroko crying if they lost to Touou again.
Aomine/Kuroko as well, continuing the Super Special ahem, Suspicious Relationship between a Light and a Shadow. Kuroko is shown, later on, to genuinely want Aomine to love playing basketball again and Aomine is seen often seeing Kuroko's face in other opponents.
Kuroko is the only teammate Aomine has a First Name Basis with, and continue doing so even after their separation.
Aomine specifically went to visit Kagami just to spat about his dim light and remark how sad it was for Tetsu, one would think he come all the way there just to say Kagami is not worthy of Kuroko.
Of course, Aomine and Kagami have this a respectable quantity.
Practically all of the Generation of Miracles seem to be sheer Ho Yaymagnets:
Akashi and his scissors. In his first appearance, he borrows a pair of scissors from Midorima to attack Kagami with. It must have really made an impression on the fans, because in fanart Akashi is always drawn with a pair of scissors, in fanfiction he often has or uses a pair of scissors, etc.