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.
Alternate Character Interpretation: The original ending of the first movie painted Rachel Phelps in quite a different light. In a deleted scene, she confides to Lou Brown that she never had any intention of moving the team, and all her actions were a ploy to motivate them to success. The scene was cut because test audiences liked the character better as a villain.
Broken Aesop: One of the chief complaints of the second film is how it runs counter to the character foundations set in the first. The most egregious one is when Taylor allows Vaughn to intentionally walk the bases loaded to face Parkman, which defies all baseball logic for a bout of It's Personal. Contrast to the first film, when Ricky is upset that Dorn quit on a grounder "on purpose" that nearly cost him a hard-earned win, to which Taylor told him that they're professionals and they don't risk games on the line for personal reasons, "so quit the crybaby shit!"
Flanderization: Bites Dorn hard in the second film. In the first, he's certainly a Prima Donna who sleeps around on his wife, but nonetheless is a talented veteran and legitimate superstar. However his fear of injury in advance of upcoming contract negotiations leads him to playing it safe (read: not making plays he should be making) so as not to damage his value, which eventually gets him called out by Taylor for spoiling things for the rookies, while also reminding him that he was once a great player. Come the second film, he's whiny and incompetent, and is presented as if her were a complete joke as a player.
Hilarious in Hindsight: The owner's entire plot. Shortly after the movies were released, Miami was given an expansion team... and Cleveland built the Indians a palatial new stadium. Meanwhile, the Florida Marlins, despite winning two World Series in their brief history (including one over the Indians!), have been beset with financial problems. The biggest bone of contention? Marlins' ownership wants a new stadium.
The Marlins did get a new stadium, for the 2012 season. They promptly suffered a losing season.
Taka Tanaka was supposed to be a sign of bad management from Dorn. This was before the Asian invasion of Major League Baseball began, which gave us the likes of Hideo Nomo, Hideki Matsui, Ichiro, and Daisuke Matsuzaka.
Tanaka wasn't a bad trade because he was Asian. He was a bad trade because A) he didn't speak a word of English, and B) he was bat-shit crazy! Of course, so were about 2/3 of the guys on the team...
This is definitely a case of YMMV, as the crux of the joke was that MLB fans at the time perceived Japanese pro baseball as something of an inferior league. Ichiro came over with roughly the same grasp on English as Taka, after all. The whole set up and introduction of Tanaka is clearly meant to imply they got an inferior player (though he must have been better than the left fielder they had prior). All this being said, the rest of the movie goes to show that he's not horrible, and in fact, being bat-shit crazy could be useful (his challenging of Cerrano, his kamikaze play in the outfield was more useful than detrimental, etc)
The 1995 Seattle Mariners ended up having quite a few similarities with the Indians' season in the movie: a perennial losing team on the verge of moving that staged an incredible comeback to win their division in a one-game playoff (ironically they were eliminated in the ALCS by the Indians).
Charlie Sheen with control issues, eh?
A team didn't move from Cleveland to Miami, but Lebron James, The city of Cleveland's most heralded player ended up doing so.
Memetic Mutation: Quite a few lines, but the "This guy here is dead!" "Cross him off, then" exchange is a favorite of baseball fans.
"Don't give me any of this ole shit!"
"Juuuuuuust a bit outside..."
This troper has heard many people, after seeing an unexpected player show power during spring training, say "yeah, off a guy who'll be bagging groceries in a week!"
Sequelitis: The original overshadows the more goofy sequels, even in the cast's eyes. By Corbin Bernsen's own admission in an interview with ESPN Radio, "we should've never done them."
Special Effects Failure: A shot in the third film of Tanaka throwing a ball in from the outfield is clearly green-screen.