The "standard" styles for grinding plates are Enterprise, Hobart and even one called a Cleveland.
Most small grinders for home use are to the Enterprise standard, which has that small cutout, which mates with a tooth cast into the body of the grinder, which prevent the plate from rotating.
You can barely make that out on the left side of this photo, under the blade:
The "tooth" is visible on the stop of these two grinders:
Then there is hubbed and hubless. Most new plates do not have a hub, which allows them to be flipped over and used again. With hardened steel and stainless steel, that might not be a wear problem. The hub gives a larger load bearing surface for the screw hub to ride on. For older hubs like this one, which is not stainless, you might get more wear on the screw hub over time.
The blades are self sharpening to a point. They ride on the surface of the plate and as they wear off, they sharpen themselves. There is corresponding wear on the plate and the plate and blade mate to themselves. If the plate and blade don't fit well, you won't get a good grind and sinew will start wrapping around the hub and blade. The other place plates wear is on the holes, the downwind side of the round hole eroding away, and elongating. Over time, meat stops cutting and starts shearing.
Then there are "European" style, swept back blades (like those found on a LEM) and flat square shaped, like those on the above grinder. If the hub fits, they work.
The only other problem is you have to work within the confined space of the clamping ring. A too thick blade and plate may leave you not enough room to tighten down the clamping ring, which has to be really tight for the grinder to work properly.