How often are actors with Dwarfism cast as characters who do not need to be dwarves or little people?

I’m watching The Station Agent currently because Peter Dinklage is one of my favorite actors. The description of the movie, both on imdb and Hulu, mentions that the character he plays has Dwarfism and, I’m only 5 minutes into the movie and his height has been mentioned/noticed 3 times. It occurred to me that the only time I have seen an actor with Dwarfism cast in a role regardless of size was when Peter Dinklage was in Threshold, a short-lived sci-fi series in which he played a math and language specialist though I may be misremembering the math part.

Except for this instance, every other time I’ve seen an actor with Dwarfism, they have been cast specifically in a role because they have this condition. Are there any other examples of one of these actors being cast in a role where it was not necessary for the character to be a Dwarf?