Can you suggest activities for someone on bed rest for eye injury?

Depends. You need to ask your treating ophthalmologist what the limits of activity are for you which depends upon the extent of the injury and the means, medical or surgical, used to treat it. A good chance for communication and to learn isometric exercise.
TV. Reading moves your eyes too much, but tv at a distance does not. You need plenty of dvds or other videos. Video gaming is questionable. The idea is to keep your eye at rest.