A wide variety of Fat and Grease type lamps exist. Some are early and as primitive as the Crusie while others are later styles that incorporate design features allowing better burning and utilization of the fuel.
One type of early fat lamp is called the Pan Lamp. These pre-date the Crusie and have no wick channel.
Other unique designs are Trunnion or Kettle Lamps which have an oil reservoir that pivots about its stem allowing some to hang on a wall or sit on a stand.
Plus a range of open or closed top wick supported lamps exist made from variety of materials such as pottery, tin, steel, pewter, and brass.