Few ideas come to mind.
Arm Pet. Robot that wraps it self (like others mentioned here before like a snake) around your arm or shoulder. Should be able to stream audio, capture video / images and ability to have sensors. Heart monitor etc. If the robot is not on the arm, Should be able to roll or navigate to its owner / partner.
Keychain robot. Locates you via phone app. So they keychain w/ keys can crawl to you or roll out. Would require a smaller brain size (Ez-Robot platform)
Phone robot. Plug in your iPhone or Android into the robot. Robot will now take your phone to a charger and continue to charge your phone. Until you call to a robot to bring your phone.
Projector Movie Robot / Video Conference. With a built in projector to watch movies or communicate. However this robot is able to tell if image is out of focus. Should walk or drive to a position in the room for a perfect distance from the projection screen / wall. Must be able to take commands to pause, play etc.
Thank you for your consideration, Greg Shabanov.
Other robots from Synthiam community

Cochranrobotics's Inmoov - D.Cochran Style

Morbeious's Alpha (Dev Servo Bot)
