Preamble
Rather than being an answer providing a radically different solution, this is an update to the original answers (which were for much older versions of macOS), including both slideshow and index sheet, and including access by contextual menus as well as key combination. It is illustrated in the way that a Mac user would expect.
Summary
Use Quick Look, which can be evoked as follows:
Select the image files, and then either:
(a) Tap the spacebar: space bar
or
- (b) Select from the contextual menu (evoked by right-click or control-click).

Quick Look is described for macOS Mojave 10.14 to Ventura 13 in the macOS User Guide, but the points I consider most relevant are described below.
Order of selection, order of display?
One might expect that the order in which one selects the image files will be the order of display, and that was indeed the case up to and including macOS Big Sur 11.0. As the user guide states:
“If you selected multiple items, the first item is shown.”
However from macOS Monterey 12 this has changed:
“If you selected multiple items, the last item you selected is shown
first.”
This applies to the slideshow and layout of the contact sheet, so I advise you to determine the selection appropriate to your version of macOS at the outset.
Initial Presentation
The initial Quick Look presentation is of the ‘first’ image. There are controls at the top left of the window (top right in early versions) as shown below.

To proceed through the images manually, one by one, use the arrows (only present if more than one image was selected).
To see an index sheet hit the ‘3x2’ icon (‘2x2’ on earlier versions and only present if more than one image was selected). You can resize the window, if necessary.

- To obtain a slideshow, you must first hit the ‘Full Screen’ icon.
Slideshow
When you have moved to full-screen (3, above) you have available a floating menu in the lower centre of the screen:

This provides the option of an automatic slideshow, as well as the manual control available without full-screen. (As one would expect, it fades out if not used, but can be retrieved by clicking.)
I do not know if there is any way of altering the time between frames in the slide show. A previous question on this point received no answers.
Earlier versions of macOS
Quick Look has been available since Mac OS X 10.5 Leopard. The positioning and detailed appearance of the icons (especially on the initial screen) has changed a little, but is essentially the same as described above for macOS Mojave 10.14.