There is something about these pony songs that make them sound beautiful on the piano. If you would like to see an example, you can look at these two reductions by Blangoog. The first is for the Extended Title Intro and the second is for Winter Wrap Up.
It's clear that Blangoog interpreted these songs with a lot of elegance and skill. You can read the sheet music or simply listen to the mp3. Here are the links:
Extended Intro sheet music
Extrended Intro mp3
Winter Wrap Up sheet music
Winter Wrap Up mp3
Thanks for sharing, Blangoog (who is on Youtube and Deviant Art).