The last really GREAT JPEG camera I owned was the Fuji S2 Pro d-slr. Fuji had a unique, very simplified control panel on the rear LCD of the S1 and S2 models. It had three main ways to control the JPEG result. Color Saturation, Tone Curve; and Sharpening. C-T-S, for Color, Tone Curve, Sharpening
Here is a link to a dPreview review, that shows the simple, easy to access method Fuji used to make one of the best JPEG shooters ever.
rearcontrols-001.jpg
Currently, the Fuji X- line of cameras have gained notoriety as being capable of exceptionally good SOOC JPEG capture, at least according to people like Zack Arias and David Hobby, who have shot numerous professional assignments using nothing but SOOC Fuji X-series JPEG images. But Fuji has a different history and a different approach to color and to images than say, Sony, or Nikon, or Canon. FujiFIlm had decades' worth of experience as a film and color-printing paper manufacturer, and they have approached picture-making with a different set of knowledge than the plain ol' camera makers.
One thing I noticed when I was shooting the Fuji S2, against the Nikon D1h, and then later the Canon 20D...the Fuji JPEGs had more room for editing than the rather flimsy JPEGs older Nikons and Canons created. ANd the other thing is that matching C and T, color saturation and vibrance levels, and Tone Curve, to the subject matter and lighting, was really important. The Fuji S2 Pro made those critical adjustments EASY, because frankly, there were so few buttons, and the system recognized that those two controls are really important to take command of. On today's 10-years-newer d-slrs, there are many dozens of control options, so the options are more or less buried in menus; the Fuji S2 Pro had "hard buttons", dedicated exclusively to controlling the way the images would be processed by the camera. The S2 Pro was, in most ways, really a fine, fine SOOC d-slr, built at a time when RAW image processing was slow, one-file-at-a-time, and really rather clunky and primitive. Controls such as highlight recovery, digital fill light, shadow/highlights, and so on were really NOT available, but were just around the corner, in the future of software.