Part 1, Cure Flora to Itazura Kagami, is a dialogue-less story featuring Cure Flora and a mischievous ghost in a mirror.

Part 2, Pumpkin Oukoku no Takaramono, features the four Precure girls from Go! Princess Precure trying to rescue a princess who is held captive.

Part 3, Precure to Refi no Wonder Night!, is set when the Night Kingdom lost its daytime. The Precure team fight to take the daytime back alongside the princess Refi.

(Source: Crunchyroll, Edited)

That jumbled piece of architecture, that cacophony of hissing steam and creaking joints, with smoke billowing from it as it moves on its own... That castle is home to the magnificent wizard Howl, infamous for both his magical prowess and for being a womanizer—or so the rumor goes in Sophie Hatter's small town. Sophie, as the plain daughter of a hatmaker, does not expect much from her future and is content with working hard in the shop. 

However, Sophie's simple life takes a turn for the exciting when she is ensnared in a disturbing situation, and the mysterious wizard appears to rescue her. Unfortunately, this encounter, brief as it may be, spurs the vain and vengeful Witch of the Waste—in a fit of jealousy caused by a past discord with Howl—to put a curse on the maiden, turning her into an old woman.

In an endeavor to return to normal, Sophie must accompany Howl and a myriad of eccentric companions—ranging from a powerful fire demon to a hopping scarecrow—in his living castle, on a dangerous adventure as a raging war tears their kingdom apart.

[Written by MAL Rewrite]

A vengeful teru teru bozu-like monster called Miden is stealing all of the Cures' magical powers and memories, turning them into helpless infants, barring Nagisa Misumi and Hana Nono. They must help the affected Cures to regain their abilities and fight off this new menace.

(Source: Wikipedia)

Sakura Kurumi, Erika's mother, is preparing for a fashion show in Paris. The girls of the school's fashion club are going to model there, including some high school students. While in Paris, they meet a mysterious boy named Oliver. However, Baron Salamander of the Desert Apostles appears, and the girls transform into Pretty Cures to defend Paris.