Horizontally sliding gallery with visible neighbors? I'm looking for a way to create a horizontally sliding gallery, where the non-"highlighted" images can be seen to the left and right of the "highlighted" image, instead of a normal slideshow where there is just a transition to the next image in a static box. 

Essentially, the functionality shown by Royal Slider, and also demonstrated on the WeArInteractive homepage under "Featured Works."

The only thing that I can find that's close is ImageFlow, but it's not quite the same and has some other odd functionality that I don't prefer.

The popular gallery/slider modules that I have found don't seem to have a built in way to do this, but maybe somebody has figure out a way to do it? I don't mind using views as part of the solution, as I'm assuming that will probably be a necessity.
That technique is most often referred to as a carousel. 

I would recommend Owl Carousel module (or as a stand alone library depending on how custom you need it) as it is highly configurable and has support for mobile devices as well.

You can check out their (non-Drupal) demo here.