The pumpkin coach at first was a Pumpkin until the Fairy Godmother uses her magic to change it into a pumpkin coach as ride for Cinderella to go to the ball. After midnight strikes, it turns back into a pumpkin and gets destroyed by the palace horses who were chasing Cinderella.
In the movie, Lady Tremaine creates a pumpkin carriage, just like the Fairy Godmother did. In contrast to the one from the first movie (which is light and made with good magic), however, this one is dark and twisted. Lucifer (who Lady Tremaine had turned into a human) was made the driver. It is eventually destroyed when it rolls off the top of the cliff that Lady Tremaine had intended to use to send Cinderella plummeting to her death.
In Kingdom Hearts, the Pumpkin Coach appears as a miniature in Merlin's study. In reality it is actually the Fairy Godmother in disguise who after being awoken from her state can unlock summons from specific items, to aid Sora on his quest.
The pumpkin coach is created by the Fairy Godmother to take Cinderella to the ball in the game. However, due to Lady Tremaine and her two daughters being murderously jealous, it is twisted into an Unversed known as the Cursed Coach and attacks Cinderella and the Grand Duke. This occurs after it is discovered that Cinderella's foot fit the glass slipper, so the Grand Duke, being close at hand to see it, escapes the Cursed Coach and manages to warn Aqua of its presence. She rushes to Cinderella's rescue, and Lady Tremaine and her two daughters were hit by one of the bombs released by the Unversed that were raining down from the sky, leaving their fates unknown. Aqua then staves off the Cursed Coach, allowing Cinderella to escape.