A digital camera is a no-brainer combined with a printing station where the phone just docks. They already have a version of this, but if they control hardware they could make it really solid—no compatibility issues, no headaches, just exactly what you want: an easy way to capture high-quality memories that don't get lost in the void of your camera roll.
A little cheaper than an Epson EcoTank printer, for sure (about ⅔ the price), and likely much better prints. But it’s a single-purpose machine, not something that can print off _anything_ in colour on Letter/A4 sized paper.
A digital camera might be straightforward but the magic is in the lenses. You could make the most fabulous CMOS sensor known to man but if you put it behind a 3mm-thick, hugely aspheric plastic lens like a phone uses then you might as well not have bothered.