There are a lot of options!!! Look at everywhere and you'll be surprised how many you can find.
There is also a Lone Ranger Cowboy Boot (Golden Horseshoe)
There is a old fashioned cup with either the Gibson Girl Ice Cream Parlor, Flo's V-8, or the Carsland Logo on it.
There is a tiki sipper (Tiki Bird Stand)
There is a Darth Vader popcorn bucket and a Stormtrooper mug (both in Tomorrowland at the popcorn or drink kiosk, respectively).
There was a Olaf sipper cup in Fantasyland (Village Haus and nearby)
There is usually some kind of travel mug. The design changes by the season/year, so it might look different when you go. They also had a huge 32 oz sipper cup that debut on the 24-hour day (I'm guessing they still have them through the summer).
Lots of different round popcorn buckets. This was the newest design I saw in May (Big Thunder)
The Plaza Inn has a Pirate or Princess Chest. The Pirate chest is brown with a Pirate motif, while the Princess is pink
They used to have an R2D2 popcorn bucket (Tomorrowland, sometimes Main Street). I didn't look to see if was still there now that the Darth buckets have appeared.
There is also a Lightning McQueen popcorn bucket. It's red most of the year, but at the Holiday time, he turns blue and wintery.
They also have the Cozy Cone sippers. Normally they're orange (and come in two sizes), but during the Holidays, they're wintry.
There is also the Dumbo popcorn bucket.
There are also the Goofy and Mickey Ears Sipper cups.