Here's a snapshot of my mom and brother enjoying their Starbucks in Magic Kingdom as the sun starts to set. I really think you can enjoy Disney at any age.
Every night in Magic Kingdom they project a montage of clips from various Disney films onto the castle (including Disney's Frozen!). This was my first time seeing it and it was incredible. The above clip is from Tangled during the lantern scene. (PS - can we talk about how I can make Gifs now?!)