I'm staying away from glass of any kind due to the arrival of our little daughter.
What are your windows made of? Wine bottles? Glasses/goblets? Beer bottles? Protective front-layer in picture frames? The front of any CRT televisions in the house? Light bulbs? And any number of baking dishes, measuring cups, salad bowls, mixing bowls, mason jars, etc.? What about the jars your jam and mustard come in? Maybe peanut butter too if you get the good stuff.
You can only be so careful. Not putting glass on your cabinet is probably not making an appreciable difference in your little girl's exposure to glass. Plus, what about plastic. That stuff leaches harmful chemicals into her food. My wife and I actually used glass baby bottles for just that reason. We figured . . . it's over the top to worry about it, but glass bottles are super cool so lets go ahead and worry about it.
Maybe our family leads a more exciting life than most, but I can tell you that exploding arcade glass would NOT be the first spontaneous tempered glass explosion in our house.
I've seen and experienced serious glass injuries due to regular glass and tempered glass -- in construction, lab, and home settings -- and half of the serious (emergency room) injuries I've seen or experienced were due to tempered. That stuff is very impact resistant to a point, particularly if it's properly mounted. But if it breaks in your home, you get a billion little pieces of glass that you will never fully eradicate. Ever. Little kids left unattended for 1/10 second will find those lone pieces of broken glass, and do what little kids do with neat new things: eat them.
And if you get a piece that suffers from substandard manufacturing or quality control, you don't even have to hit it that hard. On occasion, supposedly high-quality, properly mounted tempered windows spontaneously explode during transportation and installation. One such explosion sent a friend of mine to the hospital so they could sew his wrist back up.
These events are relatively rare, and a kid is probably more likely to get injured falling off a booster seat than eating a piece of arcade glass. But I have
never heard of a single childhood injury due to acrylic failure. Given that an arcade machine is an optional part of our home -- unlike windows and good peanut butter -- there's no need to add six square feet of shards-in-waiting.