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.
Better on DVD: Even if the shaky-cam style of the film didn't make some theater-goers queasy, the fact that on DVD you can pause or rewind at will greatly enhances the idea that you're viewing a tape found in the wreckage that's been kept in some government archive.
The huge speculation over the details of the film, such as its real title or what the monster looked like, also had a lot of people very interested. After so many guesses and questions, many found the actual results quite underwhelming.
I Am Not Shazam: None of the characters are named Cloverfield, not even the monster (though the filmmakers nicknamed it "Clover"). Cloverfield was the designation the government gave to the videotape that was in the camera throughout the film.
Love It or Hate It: Some fans praise the unique storytelling format, and others decry some of the characters' actions, the Jitter Cam and the lack of explanation about where the monster came from. People who like the movie think that the lack of explanation is entirely logical, and more or less the entire point of the movie.
Narm: The parasites sound rather like an angry Donald Duck.
Out of all the things you could have chosen to be on the TV in the electronics store, you chose Sponge Bob Square Pants.
Older Than They Think: Aside from having non-military/scientist types being the main characters in a monster movie, there's the parasites: Godzilla had lethal 5ft sea lice called Shokilas way back in 1984.
The Load: Technically Lily. The only thing she does in the movie is bandaging Marlena's wounds.
Ugly Cute: Not gonna lie. Clovie and his ticks are pretty cute.
Seriously though, look up Cloverfield on deviantArt, and see how many pictures people draw of chibi/baby Clovie.
The films plays out very differently when you keep in mind that Clovie isn't evil or a horrible agent of destruction. According to creature designer Neville Page, he's more like a lost puppy.
Unintentionally Sympathetic: Keeping in mind that the monster is a baby looking for its mom makes watching this movie an entirely different experience.
Kind of zig-zagged, actually; Word of God says that it is sort of a tragic figure, but the fact that it's a terrified baby is actually supposed to add to its scariness. As one of the people working on the film put it: "There is nothing scarier than a really big thing that's been spooked".
Visual Effects of Awesome: Watch the entire movie, and then just try to convince yourself it was made for $25 million. You can't.