The work is being done in following cases:
A mover carries a box up a flight of stairs.
A mover carries a box across a room.
Wind blows a pool chair across the yard.
A weightlifter lifts a barbell off the ground.
These are the only cases in which work is being done. The Formula of Work is:
Work= Force applied x Distance moved.
In all of these cases force is being applied and the object on which the force is being applied move in a horizontal or Vertical direction. Thus Work is done !