Well, as I make my living with my Nikon DSLR I have plenty to say on this one...
First, when it comes to what options you have and ability to take the best possible photograph, nothing beats a Single Lens Reflex camera, digital or film, in my opinion. BUT that doesn't mean everyone will take better photos with one. You actually have to know what you're doing to get any better of a photo out of it than using a webcam looking through wax paper. The number of people I see with relatively expensive cameras set to automatic settings is woefully disturbing. Mine may as well have come out of the box with the only three setting choices I ever use. Full manual exposure 85% of the time, and Shutter or aperture locked exposure the other 15%
Next, the day of the point and shoot camera is almost gone. They now only offer one feature not found on modern, current generation smart phones and that is optical zoom. More on that next.
The major drawback of the smartphone camera is that the "zoom" isn't. Digital zoom is not really zooming in on anything, it is only cropping the picture smaller. Optical zoom actually act as if you were moving closer to the subject and no information is lost. On the market now, ASUS recently released a smartphone with optical zoom, and I believe Samsung has had one for a few years, but both of these devices are niche products as anyone that actually wants to take top quality photos will still use a proper camera.
As to the tech in the camera, if one doesn't know what they are doing, the tool won't help much. My iPhone 6 has a fantastic camera, and I find that I use it quite often for all sorts of things. It has built in HDR, and shoots at 8 megapixels. I shoot at 6 megapixels on my DSLR for work because anything higher is a waste of space for the images I am working with (My photo printers print no more than 300dpi, which equals about 2.2 megapixels on a 4x6 print. ) The new iPhone6s shoots at 12 Mpx, and the other brands are all right up there in the 6-20 Mpx range. As for HDR, if you don't know what it is, than it won't matter to you. Internally the image computer is fantastic in the iphone, and routinely composes great pictures and rarely under/over exposes so long as there is plenty of ambient light. Things get spotty when there is not much light.
As said above the choice of camera above is only a tool. In a post above someone said something to the effect that 'you can bet this wasn't taken with a cell phone', so I clicked the link to another thread. I looked at the photo and thought to my self, 'looking at this photo, I have no way of knowing that'. I don't want to criticize the fellow that took the photo, but think that I have to to make the point in this case that the phone camera would do an equally good job. At that close of range there is not going to be much difference, and the lack of depth of field blurring from a wide open aperture makes it look as if it was taken with a point and shoot or a cell phone. (it may be an artistic choice, but in this case one that leaves the composition looking in a way that allows the use of much less camera.) It is a great photo, but it could be done with a current generation phone.
Anyway, I'm sure folks will light me up for this last section, but for the folks that think technology is the devil, talking about your flip phone brings exactly as much to this conversation as talking about conventional control does to a thread comparing things between DCS and Legacy...Nothing.
JGL