Well, going for the title of "People's Car," at least in my mind, brings up a blanket quality of "adequate." Nothing more than you need, but most of the things you'd want. Styling would have to be generally accepted to be decent, not bad, but not excessively good looking. Engine and transmission options that get the job done, and require little attention. Wheel and tire options that don't break the bank, and don't break your back by worsening ride quality.
In my mind, on the current American market, two cars come to mind:
2014 Chevrolet Malibu LT - 2.5 6AT
The recent updates have made the Malibu a better car, but it's only good enough to be an also-ran in the segment. It's initial debut in 2012 was a disaster, poorly received style inside and out, poor ergonomics, and poor overall performance put it far behind the pack for a car that should have been a hell of a lot better. The current model is at best an okay car, and at worst, just an okay car. The styling won't win any beauty contests, the interior has a solid feeling that is adequate - but not much more. The seats are hard, but reasonably comfortable, and there is a reasonable amount of space in the back seat given the smaller size of the car compared to it's competition. The trunk carries a good amount of stuff. It can get more than 30 MPG. The engine and transmission can be found in almost everything now, and they seem to be very reliable. Performance is adequate. Acceleration gets you up to speed, the brakes work well enough to stop you safely. Handling is there, but it won't make the car seem darty to those who want a subdued experience.
2014 Nissan Altima 2.5 SL CVT
Once again, it is style by committee. Nothing is offensive about this car, but nothing is really going to win any awards, either. If the Malibu is as standard as white bread, the Altima in my mind is like that wheat bread that isn't much different. Just like the Malibu, the parts have been around seemingly forever, and appear to be very reliable overall. Quality is adequate, and the feeling is nice where it needs to be. Although, Nissan does get a bit bourgeois on one thing - the seats. God damn this car has some of the most-comfortable seats I've ever been in. Maybe that makes it a better everyday car for every person? Literally nothing outstanding, but a nice place to sit while you commute.