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.
This may also be the reason why the death of Mrs. Davies was cut from the second movie - although pretty shocking in nature, it is visually a little too similar to the death of Yoko from the first movie.
Les Yay: There seems to be some very subtext-y moments between Allison and Vanessa in the second movie.
The way Kayako seems to be all over her (usually female) victims when she kills them (Karen and Dr. Sullivan, for example - the way she clings to Karen's corpse after she kills her). A little bit of Foe Yay, perhaps?
Paranoia Fuel: Kayako and Toshio can appear from and emerge from anywhere.
Sequelitis: The Grudge 3 was not very well-received for several reasons: at least one possible plot hole, the Bloodier and Gorier nature, lacking the Anachronic Order of the previous titles, Aiko Horiuchi replacing Takako Fuji as Kayako, and Shimba Tsuchiya being clearly too old to play the eight-year-old Toshio, among other things. It isn't lacking in genuine scares, however, and it does have its supporters.
The scene in the second movie where Aubrey goes to Karen and Doug's apartment the day after witnessing Karen's death. Aubrey glances around the apartment, eventually looks over Karen's collection of framed photos, and breaks down sobbing as her sister's death suddenly hits her.
Max's reaction when he finds out that, while possessed, he killed Naoko. After the possession wears off, the poor guy just looks so broken and confused... then the realisation just suddenly hits him and he starts sobbing on the floor.
Uncanny Valley: Kayako is given an appropriately creepy walk via a combination of stop-motion effects and Takako Fuji and Aiko Horichi's talents at performing creepy, jerky movements. She also has an expressionless face - you can't detect any emotion from her (even though she's supposed to be the embodiment of Unstoppable Rage.)
Also, in the third movie, Naoko has an incredibly unsettling walk after her transformation into Stringy-Haired Ghost Girl, thanks to her knee being broken prior to her death.
The Woobie: A good chunk of characters, but especially Allison, Jake, Aubrey and Rose.