You might find something that doesn't suit your taste on the list because it is pretty broad and there are some loved/hated works in there as well as a couple of older ones that have been told time and time again. If you encounter one that just doesn't work for you watch it anyway, they often change up and come at the topic from a different perspecitve when you least expect it.
Sci-fi
- Akira (Action, Adventure, Horror, Sci-Fi, Supernatural, Military)
- Ghost in the Shell (Mecha, Sci-Fi, Police, Psychological)
- Redline (Action, Cars, Sci-Fi, Sports)
- The Girl Who Leapt Through Time (Adventure, Drama, Romance, Sci-Fi)
- Jin-Roh (Drama, Romance, Military, Police, Psychological)
- Memories (Drama, Horror, Sci-Fi, Psychological)
Fantasy
- Wolf Children (Fantasy, Slice of Life)
- Princess Mononoke (Action, Adventure, Fantasy)
- Howl's Moving Castle (Adventure, Drama, Fantasy, Romance)
- Nausicaä (Adventure, Fantasy)
Mixed
- Paprika (Mystery, Fantasy, Horror, Sci-Fi, Psychological, Thriller)
- Castle in the Sky (Adventure, Fantasy, Romance, Sci-Fi)
Other
- Saint☆Young Men (Comedy, Slice of Life)
- Spirited Away (Adventure, Drama, Romance, Supernatural)
- Summer Wars (Comedy, Sci-Fi)
- Sword of the Stranger (Action, Historical, Samurai)
- Tekkon Kinkreet (Adventure, Psychological)
- Tokyo Godfathers (Comedy, Drama)
- Colorful (Drama, Slice of Life, Supernatural)
- Grave of the Fireflies (Drama, Historical)
- Kara no Kyoukai (Action, Mystery, Supernatural, Thriller)
- Perfect Blue (Drama, Horror, Psychological)
