I've been saying that one of the next steps for phone cameras would be simulated shallow depth-of-field for blurry backgrounds. And here it is, a review of the Huawei-Leica phone. Good stuff.
[Update: there are even iPhone apps for this.]
The next important step would be an extra lens, for tele- and portrait-photography. (I think this will be easier than making a good zoom lens in the tiny space available.) My wish is for a 100mm-equivalent lens. This would be a good portrait lens, and give a bit of reach, unlike the 70mm which is so common on Normal zoom lenses, 70mm is just a longish normal, not a tele. (In my view it's the downfall of the last two generations of the otherwise great Sony RX100 camera, they shortened the zoom to 70mm.)