Here is a cool home robot capable of projecting an 80 inch screen from a distance of 3 meters. Tipron has a transforming design that lets it project at a variety of height and angles. It expands to 80cm when projecting or shooting images but stays compact when charging and moving.
Tipron supports Android. It has a 5800 mAh battery and charges in 2 hours. The robot comes with various smart components, including a IR distance camera and an ultrasonic obstacle sensor. More information is available here.