When you first open an ice box that generated cursed, it may spawn a gelatinous cube or a group of P monsters.

Pets will never pick up large, bulky containers, like large boxes, chests and ice boxes. For one, picking up a heavy bulky object is unrealistic for many humanoid pets; for another, usually when pets pick up large containers they are doing something annoying like moving around a stash container.

Placing potions in an ice box makes them instantly freeze and shatter.

Ice boxes occasionally contain potions of booze or fruit juice in addition to corpses. A proposed frequency is 1% of ice boxes, and they contain d3 of either type of potion (possibly both).