Which toys don't break?

Basically, you can say that there are robust and less robust toys for dogs. It is obvious that cuddly toys and most squeaky toys in cuddly toy form can be destroyed quite quickly by dogs.

Rope, rings and tug toys, on the other hand, are somewhat more robust. There are also extra strong toys that are sewn with double seams or made from specially thick material (such as fire hose).
The only question that is decisive, however, is what type of dog you have. There are dogs that have the same cuddly toy for years and never harm it. And there are dogs that bite everything they can get between their teeth to play with. 
However, there is no such thing as a toy that won't break. Toys are everyday objects and, depending on the dog, may last longer or less long.