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.
YMMV: Red Hood and the Outlaws
Awesome Art: Rocafort's run as penciller for the book, his backgrounds were breath-taking.
They Changed It, Now It Sucks: James Tynion IV's run has been filled with weird choices and subpar art making it panned by critics and fans alike.
Fan Dumb: A lot of this happened on both sides after the first issue. Lobdell addressed the people who dropped it after the first issue by saying "It's like people booing at the first fifteen minutes of a movie and expecting it to change the ending" since he'd already plotted out several more issues by the time it was released. Defenders of the book were also all too quick to label anyone criticizing it a prude, a feminazi, or other variations of the same phrase.
Fanon Discontinuity: The issue 0 revealing that the Joker basically orchestrated Jason's becoming Robin and his death. Suffice to say, many don't like it, since the Joker comes off as a Villain Sue, and out of character, and outright ignore it.
Growing the Beard: The first issue was highly controversial and caused many fans to judge the series as unlikeable (Jason), shallow and sex obsessed (Starfire), amongst other terms. The book has since subverted many of these preconceptions, despite the fact that there are still some people who refuse to look past the first issue.
Issue 6, which recounts how Starfire and Jason met, is also considered pretty good.
As is Issue 18, which gives closure to Jason's issues with Bruce and mends their relationship.
Internet Backdraft: The reaction to Kori's new personality was... not received well, to say the least. The fact that Lobdell's response was to call the people criticizing his portrayal of Kori misogynistic and xenophobic didn't help things at all, nor did the fact that he focused on the people using slut-shaming language towards Kori while ignoring the people who made well thought out, rational criticisms of the book's portrayal of gender and sex.
Numerous fans were also turned off by Lobdell's rationalization of Lian Harper's nonexistence. There had been a least a certain amount of fans who were hoping that Lian's death would be retconned in the new continuity, judging from the cover to #1 featuring Roy with both arms. Only for the company to retcon her existence entirely.
Narm: Starfire's new costume is so ridiculous to many people that she's impossible to take seriously, and her sexual dialog doesn't help a bit.
One True Threesome: Part of what was the first wave of fanart for the series. After the title had ONLY been announced.
And after issue one, in which Starfire has sex with Roy, and Jason states he'd "been with" her. In what might be a conscious rejection of the trope (and/or a retcon), issue six reveals this to have been spending the entire night talking with her.
Tainted By The First Issue: Again, that first issue threw a lot of potential fans into Fan Rage. However, it's a complement to Lobdell's execution of his later issues that even people who absolutely hate that issue generally agree his handle of the characters got better. This is especially notable when comparing this #1's controversy to Judd Winick's antics on Catwoman#1. Noticeably, Lobdell clearly tried to address complaints head on, while Winick lost his book in part to the fallout from #1.
Unfortunate Implications: One of the biggest causes of Internet Backdraft was Kori's line in the first issue where she says that she doesn't remember anything about her former time with the Titans and doesn't recognize the names of her former teammates (including Dick Grayson, to whom she was engaged), which many readers took to mean that she has the memory of a goldfish and made the idea that she could consent pretty dubious. Later on it's shown that she was faking it, but even that doesn't come across as mentally healthy. Add to that the fact that Roy thought she really was amnesiac at the time and still had sex with her and he doesn't come out looking good either.
In general, Starfire's character, especially the way her nonemotional promiscuity has been depicted. There are ways to portray a tired, lonely, emotionally defeated young woman seeking comfort through anonymous hookups, and this is not one of them.
The second issue also featured a stewardess (the same one from A Death In The Family, incidentally) who flirts with Jason by leaning over his seat and gives him her number. When Lobdell was criticized over the fact that this was extremely unprofessional behavior on her part his response was that something similar had happened to him with a stewardess.
The Woobie: Jason, on top of being killed and resurrected, had such an awful childhood that he considers his birth as the happiest day of his live.