Point & shoot cameras have been around forever, and with good reason - they're portable, simple to use and inexpensive. If you're looking for something easy to use that takes better pictures than your smartphone, look no further.
Point and shoot cameras offer the largest selection of any type camera, going as low as $99 for the Canon PowerShot. You could spend a long time browsing through point and shoot cameras, but they really all do the same thing - you point, it shoots.
If you're looking for more control over your photos and have a bit higher of a budget, consider bridge cameras.