There are a variety of popcorn stations around both parks with all kinds of crazy (and normal) flavors like soy sauce, strawberry, chocolate, and honey that change seasonally. At each station, there is a different themed plastic popcorn bucket that you can wear conveniently like a purse and get refilled at any of the stations for a discounted price. It's a unique part of the Tokyo Disney experience, and I definitely recommend you get one of the buckets and try out a few of the flavors. (The Minnie Mouse bow one is my personal favorite!)
Here's one of the popcorn stations. Honey-flavored popcorn paired with a Winnie the Pooh bucket, naturally.