Well, technically, a playlist for each season. Just doesn't have quite the same ring to it.
Below are four lists of Disney songs that either have lyrics that apply or just have a vibe that I associate with a particular season. This is by no means a complete list, as I have only included songs I'm familiar with that feel seasonal. SPRINGSpring songs are light, bright, and probably nature-related.
A Whole New World (Aladdin)
Following the Leader (Peter Pan)
For the First Time in Forever (Frozen)
Little April Shower (Bambi)
Part of Your World (The Little Mermaid)
Let's Sing a Gay Little Spring Song...