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.
Lots of them, but especially Richard Troy, Eve's father.
Eve's mother is hinted to be this a few times throughout the series, and is fully revealed to be this in New York To Dallas. For starters, Stella is apparently not her real name. In fact, she has also gone by the names Sister Suzan, Sarajo Whitehead, and Sylvia Prentiss. She may not even have a name. She is a drug addict and engaged in prostitution. She also boosted cars, and ran all sorts of cons. She had consensual rough sex with a guy and pretended to be raped so she could get close to one rape counselor and eventually kidnap her. She partnered up with Richard Troy and had Eve Dallas just so she can get money. She stole Troy's money and ran off, knowing what Troy was going to do to Eve and considered Eve worthless, detestable and not worth remembering. She partnered up with pedophile and Complete Monster Isaac McQueen to kidnap people and try to help Isaac get revenge on Dallas. She thought she would get loads of money, and she actually loved Isaac. She hates everybody and everything, and she slashed the tires of a man's car just because his wife made a comment about the illegal drugs she takes. She has no qualms about teaming up with pedophiles, and would apparently watch a rape without blinking. When she got caught and restrained, she broke out and killed a cop without a second thought. She apparently has no Freudian Excuse for her behaviour, and it could be that she was always like this to begin with. Really, her death at Isaac's hands was no more than her well-deserved comeuppance.
Les Yay - Dallas and Peabody, but only for humor, as they are both straight and in committed relationships.
Peabody(explaining her lateness): ..."Then I couldn't sleep because of the jitters, so I jumped McNab to sort of remind myself why I'm doing this..."
"Was okay until the subway breakdown. That threw me off, and now I've got the jitters again."
Dallas: "You can just forget about jumping me to take your mind off them."
— (Imitation In Death)
Jerk Sue - Eve is rude, confrontational, antisocial, and has rage issues. She admits to delighting in upsetting people and making them hurt or angry, and using her position to do so... of course, anyone who did the same thing to someone she cared about would be first on her Shit List. Threatening her friends and loved ones with bodily harm and humiliation is standard, and in-universe considered part of her charm. Any time she interacts with someone she knows well there's at least a fifty-fifty chance she's going to insult them deeply. And... well, honestly, this is longer than necessary already, you get the idea. With that said, New York To Dallas and stories after that have Eve beginning to realize that her Jerkass tendencies come from her biological mother, and that she may decide to tone them down a little, if only to act a little less like her mother.
Mary Sue - Eve. Even if you don't agree that she is in execution, tell someone you know that you're reading a series about a female cop in the future who's pretty much the best police officer in the city, who constantly has bad guys work their entire plans around challenging themselves against her, and who is married to a drop-dead gorgeous guy who's the richest man in the universe.
Mary Suetopia: Parts of New York come off as this. But that's got nothing on the parts of Dallas, Texas that Eve goes to in New York To Dallas. Those parts are so...perfect, sweet and squeaky-clean that Eve finds them a little creepy. It seems to serve the purpose of contrasting and highlighting just how vile, unnatural, monstrous, heinous, and disgusting Sylvia Prentiss and Isaac McQueen really are!
Purity Sue: Troy Trueheart is this, so very much! His purity had a Lampshade Hanging put onto it more than once. In fact, Portrait In Death had a guy murdering Purity Sues because he truly believed that by doing this, he would absorb the light of their pure souls into himself and never die, as well as show everyone else that they can avoid dying if they did this. Troy Trueheart almost ended up as one of his victims, in case you were wondering.
One novel has another female character claim that Eve attempts to fit in with a male-dominated field by acting like a man and eschewing her femininity. This is presented in such a way that it's supposed to show the character as being shallow and arrogant, and simply using her sex appeal to get by. The thing is, she's right... Eve's desire to avoid anything "girly" often borders on obsession, and until several years into their marriage she freaks out at Roarke displaying affection for her in public for fear that someone she knows will see and think she's some weak emotional woman for kissing her husband.
Squick - Eve and Roarke are examining the apartment of a sleazy murder victim (who they also discover to be a date rapist). In the process, Roarke remarks on (and handles) some vaguely defined but kinky sex toy. And then steals it, presumably to use on Eve later. Second hand sex toy, already very ew... second hand sex toy belonging to a rapist? Ugh.