Action cameras like the Xiaomi Yi/GoPro/Kodak 360 are more suited for this than people think. Their strong points is the size which makes them discrete, but also the unique fisheye perspective and field of view that makes it possible to get very close.
Because of this you can take photos without looking, you use your instinct and usually you get what you think inside the frame.
Also superb for making intentionally blurry photos in lower light, when motion can become art, with such a wide angle there is a lot of threshold, although this takes practice.
Examples taken with Xiaomi Yi/BRUNOPIX: