The best point-and-shoot cameras excel in thrre key areas: larger sensor size, faster lens speed, and non-bulky / compact camera size.

The best point-and-shoot under $1,000: Sony RX100 III (pocket size, best-in-class image and video quality, a viewfinder that doesn't add to the bulk, lens lets in plenty of light even when zoomed in.)

The best point-and-shoot under $1,000 with more zoom and a touchscreen: Canon PowerShot G5 X (not pocket sized, battery drainer)

The best point-and-shoot under $1,000 for 4K video: Panasonic Lumix DMC-LX100 (bulky)