The Four Kings Casino and Slots

This is achieved in the Slots in Space slot machine. In the upper left, you will see your current mission is represented by the alien, crystal, or planet icon. When that icon lands in the frame, you will gain progress in the mission. The progress will be multiplied by the amount you bet and will start to fill the black meter red. When the meter is full, the mission will complete. You can do the 3 different missions in separate sittings, but each single mission must be completed in "one sitting" - Losing connection, pressing to view the menu, switching controllers/batteries will end the sitting and the meter will reset.

Resetting the game will randomize which mission you get, but you will clearly run into all 3 types if you choose to go for: