I am actually reading a book right now that mentions this problem of differentiating between a 'computer' and a microprocessor. Your digital alarm clock is probably not a computer, but it certainly contains a microprocessor.
I had this problem when the iPad came out, that I kept arguing that it was not a computer, it was a new kind of product. It was mostly a content delivery system (like a cable box, or an Xbox). I think most people would still call it a computer, so if we consider a computer a device that allows one to create digital content, or to navigate and interact with digital content from outside sources (either through a network connection or by reading a storage device)...
Steve and I have (in working order)
A desk top
A lap top
An iPad
Two smart phones
A Playstation3
A 'Smart' TV
Two Nooks
If you want the items which contain microprocessors, in addition to that list we have:
A car
A printer ( One could make an argument that this a crude an inefficent computer, because I can plug a USB directly into it and use a small screen to navigate the file structure and select files to print, but I would say I am not meaningfuly interacting with the contents of those files)
A microwave
A dishwasher (not technically ours)
A camera (again, one could argue this is a computer, because in addition to 'creating' photos, I can view photos from an SD card, I can't interact with the photos though, but I wonder if I could perform even rudimentary editing tasks, would I call it a computer?)
Two pedometers
A hair straightener
A vibrator
A clock
Several thermometers
Christmas lights
A rice cooker
A toy monkey
A lantern
There a a bunch more which might, but cant be sure. (my blender, my vacuum, etc)
This book notes that we produce more microprocessors a year than there are people on the planet: 10 billion. 10 BILLION a year.