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.
Dick Locher's strips completely averted this, oddly enough, though presumably as a famed political cartoonist Locher had another outlet for that sort of thing.
Broken Base: Moon Maid and the whole Moon Era she was a representative of.
Creator's Pet: Moon Maid, who during her appearances under Gould was given a range of powers that many Golden Age superheroes would be envious of, and was frequently applauded for taking the law into her own hands. Fans of the strip were... more divisive.
Although he was created by Chester Gould, Max Allan Collins really likes ham-actor Vitamin Flintheart (and in the introductions to many of the Complete Chester Gould's Dick Tracy Books, he's pretty much out in the open about this). Gould created Flintheart in the mid 1940's, used him up until 1950, then never again for his entire run. Collins brought Vitamin back for his first story in 1978, then used the character in several stories up until his run ended in 1993 (though unlike Moon Maid, there didn't seem to be any fans who particularly objected).
B. O. Plenty, Gravel Gertie, and their daughter Sparkle. Newer readers might be mystified as to how a family of hillbilly farmers got to be such prominent supporting characters in a Police Crime strip. The answer is that BO and Gertie both started out (in separate stories) as minor villains Tracy had to bring in. Then they reformed, met, fell in love, and married, gaining popularity as the Plucky Comic Relief. The birth of their baby daughter Sparkle is widely regarded as the strip's high point in terms of merchandising, coinciding with the start of the Baby Boom.
Also the general freakish nature of most of Tracy's rogue gallery.
The Brow had a Cold-Blooded Torture device consisting of a small mechanical iron maiden that closed around the victim's leg. Eventually the villain gets caught in it by the head. He has no choice but to tear his bleeding head out of it before it can close on him completely.
Rescued from the Scrappy Heap: Moon Maid since her resurrection under Staton and Curtis, which saw her powers greatly toned down and her actions being viewed in a somewhat more realistic manner by the other characters.
So Bad, It's Good: The Moon Period stories can actually be a lot of fun if you enjoy the very pulpiest of pulp science fiction. They're utterly ridiculous and out of place, but they're fun for exactly those reasons. And Gould's artwork during this period is gorgeous, arguably the best he ever did; he very clearly enjoyed getting to draw stuff so radically different from the normal restrictions of the strip's genre. Some even consider this period to be outright Vindicated by History, especially compared to the Locher era, and since Moon Maid's return under Curtis and Staton.
Take That, Scrappy!: The "Mr. Crime" storyline that ran in 2011-2012 revealed early on that there was a mole inside the police department. To the surprise of very few readers, this turned out to be Lt. Teevo, the one recurring character that had been introduced by Dick Locher, and at the conclusion of the storyline he ended up being fed to a giant, carnivorous plant.
Vindicated by History: As mentioned above, many fans now consider the Moon stories to be this. In addition, Mike Kilian's writing has started to be looked on more favorably by fans in the years since his death, with many feeling that his work actually stacks up pretty well compared to most other contemporary adventure strips, and that if anything he probably had an impossible task in trying to replace Max Allan Collins (the manner in which Collins got forced off the strip likely didn't help Kilian's job, either).
In the case of Moon Maid and her era, the people who really hated it tended to be older fans, including those old enough to write published articles and books about Dick Tracy, which was pretty much the only way a fan could publicly express their opinion in those pre-Internet days. By the time Dick Tracy became available on the Internet, Moon Maid had been dead for decades and almost never even mentioned since then by Collins or his successors, so there just wasn't much occasion to talk about her. When Curtis & Staton began to revive her, it brought out into the open a fandom for Moon Maid that had always been there, but had never had much opportunity to express itself until then.
Jerk Sue: There's no denying his honesty and courage, but Dick Tracy can be quite arrogant and brutal in his treatment of suspects - particularly when he waives their constitutional rights out of sheer spite.
Nightmare Fuel: The general freakish nature of most of Tracy's rogue gallery, where with the exception of the Breathless Mahoney (who designed the Blank costume/persona to wear so that she could go around killing people without anyone suspecting her), the costume designers went overboard to portray all of Tracy's villains as the grotesque looking freaks they were in the comics. Even Al Pacino's Big Boy Caprice makeup is unsettling.
So many of the gangsters (Pruneface, Influence, and Steve the Tramp, to name just three) are so unbelievably ugly (courtesy of some truly pull-out-all-the-stops movie makeup) that the average 6- or 7-year-old's reaction is less likely to be "Hee-hee, they're funny-looking" to "Mommy, make the scary people go away...."
A surprisingly high body count for a PG-rated film, with seven men being killed in the first 10 minutes alone.
Lips Manlis pathetically begging for his life as cement slowly covers him.
The final gun battle on the street, with Influence and Flattop shown getting shot in disturbing close-ups. ( Flattop's spasmodic death throes, his tommy gun firing wildly as his fingers lock on the trigger in a death grip, is virtually guaranteed to be the stuff of nightmares.)
They Wasted a Perfectly Good Character: The five card players shot and killed by Flattop within the first two minutes were all significant characters in the strip. The Brow is widely regarded as one of Chester Gould's greatest villainous creations, who ranks with among others, Flattop himself; Little Face was one of the first "Grotesques" introduced into the strip; Shoulders and Stooge both appeared twice in the strip's canon (a rarity for Dick Tracy villains); and the Rodent was one of the last great grotesques of the 1950s.
Visual Effects of Awesome: Creepy as they may be, you can't deny the sheer quality of the makeup design that won this movie the Academy Award for Best Makeup. They actually look realistic to a degree. Add to that the set design and color scheme throughout, this is one good looking movie!
What an Idiot: Somehow, Itchy's obviously phony orphanage ploy has Tracy completely fooled. AND ONLY HIM, Kid wasn't fooled for a second.