Plexi was often used in arcades because of the heavy abuse machines
took.
In the arcade I worked at... games like Galaga, which came with the
printed artwork, was cracked and pieces missing. The edges were
sharp and irritated any body part resting on them. Also, people
would further make the problem worse by ripping the edge that
stuck up. Only a short time later, the rest would raise up as well... and
also be ripped.
To combat this, I actually popped on a plexi overlay. And trust me, I
wasnt the first nor the last to do this.
Plexi also helped to lessen damages due to some idiot who snuck a
drink in, and spilled it. Most of the stuff just ran right off the edge.
Plexi made cleaning control panels much more easy too. As again,
games with only that flexible material would get ground in dirt, grime, and
human sweat/waste. Such grime was really tough to remove from the
roughened artworks.
With plexi, there were small scratches.. but players really never noticed
nor cared. We often used Novis to polish the plexi, and it shined very
well - even with the scratches.
Most games used glass bezels. However, some games did use thick
plexi. Plexi isnt a good thing to use on bezels, because the plexi
scratches are very apparent when trying to see the monitor behind it.
Marquees are less of a concern obviously.