Boy, my experience is different.
We have Corelle. Well, we have two plates left of corelle! Kids broke the rest. I think they are ok and I would consider buying again, but we actually bought the nice West Marine "plastic" plates. Not the cheap looking stuff, the stuff with nice designs on it that is very nautical. I always said it was a waste of money to get non-skid plates. Well, I kinda take that back and kind don't.
As seen above, we eat a lot on the outside table. It is all fiberglass and is very slick with corelle. We much prefer the nice plastic ones for that purpose. If you eat at all underway (and sometimes at the dock when the idiots come zooming by in the no wake zone), you will need something with non-skid. Now... here is the caveat: You don't have to buy the non-skid plates. Just go to Home Depot and get that rug-runner non-skid stuff. It works even better than the non-skid on those plates. For those of you that use corelle, if you cut it up in 6x6(ish) squares and layer it between your plates in teh cabinets, you will find that they tend to stay in there when you open the cabinet underway. The nonskid is also a great product for wrapping around wine bottles and other things to keep them from breaking. It is a good, cheap product to have on a boat and has lots of uses. Rumor has it that you can even build Lego projects on it while under way... but I would have to put my 6&10 yo experts on to verify!!
They make plastic coffee cups that go with the dinnerware sets. I hate them. I refuse to drink my coffee out of plastic. I will move aboard land first. So we buy regular old ceramaic coffee cups. Since 2006, we have only broken two. And when they break, it really is not that bad (unless the coffee is still in them). They are suprisingly tough, as is all ceramic stuff and is a good option for cruisers that dont like the nautical plastic plates OR want to save some money. Again, just buy the non-skid.
As for drinking glasses, we primarily use plastic... nice plastic, but plastic. You can get some pretty nice stuff at Target. We use regular silverware. There are a few exceptions: we do have a couple of plastic wine glasses, but they are more for going in the dink or something where they are very likely to get broken or left behind. We primarily drink wine out of crystal or glass wine glasses. To me, it is hard to enjoy a nice bottle of wine in a plastic glass... no matter how "crystal" it looks. We have broken two wine glasses since 2006. We also hang these in a display cabinet and typically will put a flour sack towel to keep them from breaking. But unless we are making a long passage, we don't worry about it. We have never had one break in the cabinet.