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.
Fridge Logic: long time readers may sometimes be left asking why Doraemon didn't use his other gadgets to get himself/Nobita/others out of their predicament.
Germans Love David Hasselhoff : In Indonesia, being a Gateway Series to Japanese animation and manga in general. And HOW. It's also quite the hot stuff in Spain, having aired since almost as early as in Japan and still going strong.
Jerkass: Nobita's mom. She hates animals. So much that she nearly destroyed the earth.
Nightmare Fuel: The episode where Doraemon uses this moonbeam flashlight that turns anyone it shines on into a Werewolf. Doraemon scares Nobita after he retreats to his room after watching a scary movie.
And the episode where Shizuka adopts a doll and asks Doraemon to make her a sentient one so they can find its owner...
The episode where Nobita accidentally called a Snow Spirit. They started as a friend until the spirit became a Clingy Jealous Girl towards Nobita and forced him to play hours in a snow storm. Nobita caught a very bad fever as the result. Knowing she really liked Nobita and felt bad that Nobita got sick because of her, she sacrificed herself to heal Nobita's fever and in exchange she had to vanished with the winter and spring came early instead.
The movie where a portal to another dimension forms under a floor tile in Nobita's room. Doraemon finds a love interest there, and said portal gets destroyed at the end of the movie, severing Doraemon from ever being able to visit his love interest ever again. The movie's Award Bait tear jerker of a theme song (played as the portal vanishes) brings on the full effect.
And of course, the final chapter of Volume 6 of the manga, as well as the first chapter of Volume 7. Which was adapted into a half-hour long TV special in two parts.
Some of the fan-written endings mentioned above as well. Especially the infamous "happy ending", when the repaired Doraemon wakes up for the first time in 35 years, and Nobita and Shizuka both switch to looking just like they did when he was last awake and glomp the confused cat. There is a reason the fanbase were so convinced it was canon that they were emailing the publisher asking them to verify and/or animate it.