Interesting stories can be made up about almost anything.  

I have always found it interesting that, with my TiVo, I can pause a well-produced movie at almost any frame and find that frame interesting. Very often, a whole story can be imagined from that single frame. That's a testament to the art of the professional video maker, and also to the ruthlessness of the editor, who makes the movie out of only the most compelling footage.  

Take your camcorder with you on your humblest adventures.  A Flip is particularly a good choice, since it slips right in the pocket.  Take a 20 or 30 second clips at convenient moments, bring them home and edit them into the story of your experience.  Stories need not be long to be good.  A story can capture a unique perspective, collapsed into meaningfull vignettes.  

For a longer term project, catch the story of a bird hatching, day by day.  Or your children's progress learning to walk, mastering eating utensils, or improving their swing at the batting cage, over time.  Then come home and edit ruthlessly.  It isn't the footage your family will most appreciate -- it is the editing. You don't have to throw your original clips away (though you almost certainly will, eventually), but those polished gems that result from a hour of editing will be kept and shared for a long, long time.