The best ANIMATION movies of the 21st century

• Up (2009) [IMDB 8.3]

Carl Fredricksen (Ed Asner), a 78-year-old balloon salesman, is about to fulfill a lifelong dream. Tying thousands of balloons to his house, he flies away to the South American wilderness. But curmudgeonly Carl's worst nightmare comes true when he discovers a little boy named Russell is a stowaway aboard the balloon-powered house.

Source for Plot: Up (2009 film)

• Inside Out (2015) [IMDB 8.2]

Riley (Kaitlyn Dias) is a happy, hockey-loving 11-year-old Midwestern girl, but her world turns upside-down when she and her parents move to San Francisco. Riley's emotions -- led by Joy (Amy Poehler) -- try to guide her through this difficult, life-changing event. However, the stress of the move brings Sadness (Phyllis Smith) to the forefront. When Joy and Sadness are inadvertently swept into the far reaches of Riley's mind, the only emotions left in Headquarters are Anger, Fear and Disgust.

Source for Plot: Inside Out

• WALL-E (2008) [IMDB 8.4]

WALL-E, short for Waste Allocation Load Lifter Earth-class, is the last robot left on Earth. He spends his days tidying up the planet, one piece of garbage at a time. But during 700 years, WALL-E has developed a personality, and he's more than a little lonely. Then he spots EVE (Elissa Knight), a sleek and shapely probe sent back to Earth on a scanning mission. Smitten WALL-E embarks on his greatest adventure yet when he follows EVE across the galaxy.

Source for plot: WALL-E

For more animated movies and Anime see Tarek Shabana's answer to What are the best must-watch (but underrated) animated films?

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ANIME

• Spirited Away (2001) [IMDB 8.6]

In this animated feature by noted Japanese director Hayao Miyazaki, 10-year-old Chihiro (Rumi Hiiragi) and her parents (Takashi Naitô, Yasuko Sawaguchi) stumble upon a seemingly abandoned amusement park. After her mother and father are turned into giant pigs, Chihiro meets the mysterious Haku (Miyu Irino), who explains that the park is a resort for supernatural beings who need a break from their time spent in the earthly realm, and that she must work there to free herself and her parents.

Source for Plot: Spirited Away

• Your Name (2016) [IMDB 8.5]

A teenage boy and girl embark on a quest to meet each other for the first time after they magically swap bodies.