Almost all compact cameras lack a viewfinder. They are competing with phone-photography, which they are losing.

The weak point of taking photos with mobile phones is the screen. In bright sunshine, you can not make good photos. So I would say: make a simple, small viewfinder camera with software- & sensor- technology similar to phones, with a slightly better lens. Keep it really cheap for almost throw-away price so everyone can afford it and a lot can be sold. It would have a small screen and a viewfinder so taking pictures in bright light is easier. It can cast a slideshow to TVs and computers (the small screen would work as a remote control, swipe for next). An accessory like HDMI to Wifi (Chromecast-like) stick can be sold.

It could be the modern implementation of the iconic Kodak Instamatic.