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.
Like Bang, it seems like half of the fanbase loves Carl, and the other half loathes him. The ones who hate him generally find him whiny, annoying, and irrelevant to the overall plot. Other people like him for his relatively unique, cool, and effective playstyle, puppetmaster aesthetic, stylish outfit and an interesting story overall. Also, the fact that some people (mainly the female parts of the fanbase) just want to take him home with them really helps his popularity.
Draco in Leather Pants: Jin gets along well with people, even Noel; he just doesn't say anything about his confusion. His jerkassness/partial insanity is a result of the Ikaruga War combined with him finding out that the brother he killed is still alive and remembering his past. This paid off. He's now one of the genuine good guys.
The vocal version of Gale -Reppu-, Bang Shishigami's 1st theme song was originally written and performed by a user from Nico Nico Douga, the song was so catchy and worthy of Bang's fame that it caught the Blaz Blue's official radio show (Buraji) attention. All the impending success of the song made Daisuke Ishiwatari invite Bang himself (Tsuyoshi Koyama) to perform the vocals for his 1st theme song, this of course with the very same lyrics the original writter envisioned. Oh, and in Guilty Gear x BlazBlue Live Music 2011, Tsuyoshi himself sings this same song with these same lyrics!
Even more impressive that Ragna and Jin have their share of fan vocals tied to their themes, still no word on Daisuke Ishiwatari promissing to have the same lyrics whenever he invites the voice actors to perform the official vocals.
Taokaka as well. In Relius' joke ending in Continuum Shift: Extend, she lampshades her popularity. (The kicker? She said this while in Hazama's body. Yeah, it's like that.)
Taokaka: Tao would never say that, 'cause Tao is adorable and friendly and a fan-favourite.
"Funny Aneurysm" Moment: Remember Tao's alternate ending from Calamity Trigger done in a cheesy trailer style for a non-existant "upcoming movie" that portrayed Litchi being an antagonist? Yeah...
Another one... Remember when Litchi suddenly sports devil horns when trying to keep both Tao and Carl quiet in her story? Well...
First of all, he's a Skill Gate Character who takes very little effort to win with in lower levels of play.
Second, his character design is one of the least anime-esque of all the Blazblue characters, as he bears some resemblance to some Marvel Comics characters like The Hulk, Beast, and Hellboy as a non Marvel example. As well as being more focused on what is viewed as awesome in Americans: MANLINESS, being the runner up in that department aside of Bang.
Lastly, the memes associated with him aren't as prevalent in the Japanese version, if they are present at all. The infamous GIGANTIC TAGER!!! meme in Japan just equals of his Japanese voice actor yelling "GAUNTLEEET HAAADDEEESS!"... the joke's still there, but less over the top and recognizable.
Ragna seems to be prone to this, like his younger brother/Rival, Jin. He has also been paired with almost every character from the series. What even adds to this is Rachel's Funny Ending. And just like Jin, this is not limited within the series. There're fanarts and fanfictions of Ragna being paired with Rita Mordio, Kohaku, Heart Aino, Lambdadelta, Souseiseki, Sol Badguy, Flandre Scarlet, Rumia, and more. And then, there's the official April Fool's BlazBlue X Arcana Heart - Crossover Flash Game hosted by the companies of both franchises. Where Ragna is on a date with Heart. Oooooohhh, boy...
Magnificent Bitch: Rachel. Truly proves to be the most powerful of the cast and shows what a piece of cake it is to use the Tsukuyomi unit to defend Kagutsuchi from Take-mikazuchi's threat, all without ever feeling like a Mary Sue or even a Villain Sue.
If anyone hates Jin, it's because he is a "scrub" character. His abrasive and crazed personality is actually rather popular.
Rachel is hated for being god-tier.
Arakune Gets about as much hate as Nu and Jin. This mostly stems from his Confusion Fu style of fighting, which is downright CONFUSING to many, coupled with the fact that he is far easier to use than he looks; most of his moves are executed simply by pushing a direction and a button.
Some fans hate Carl because he's very weak. These people tend to not use his drive ability properly, which requires Carl and Ada to attack in tandem. This is very visible with his Astral Finish, as the enemy can easily avoid it unless Carl does some serious work.
On the other side of the spectrum, some hate him because of the Clap Loop. Never mind the fact that it's extremely difficult to get the timing and inputs right, or even to set up, since most people with half a brain will want to stay the hell away from Nirvana.
Let us not talk about the counter hit -> juggle -> teleport Nirvana in -> claploop setup.
Unpopular Popular Character: Oddly enough, the minor characters from Ronin-Gai who follows Bang would avert this if it weren't, well, for their status as minor characters.