I always thought the big ones were called Toe Breakers. But I do remember being a kid and getting those gigantic jawbreakers that you could barely fit in your mouth.
The fourth marble is a Tiger Eye Type II - the black-streaked white ribbon was likely meant to be all purple/black. The third marble that Rick mentioned would probably be in the "Elite" group.
I'd say Vitro, cage- or horseshoe-style cat's eyes in the first two pics (Vitros in the last pic too). They're really the same type of marble, but if you look at 3 o'clock in your 2nd pic, you can see why some are called horseshoes.
On the first pic, I'll say, Peltier, JABO, Akro, Akro, Ravenswood. The last one appears to be a very interesting Peltier. I'd like to see more pics of that last one but I think you'll need to back up a bit so your camera can focus properly.