Prior to studying Parrish, I was under the impression that symmetrically balanced designs tend to be boring. I think Parrish shows this need not be the case. Here are a few examples where Parrish uses symmetrical balance as a design technique. Parrish apparently liked symmetrically balanced designs, since he used them frequently.
Very Little Red Riding Hood (1897)
Jello Ad (1922)
Two Pastry Cooks (1921)
Now that I am attuned to symmetrical balance, I am noticing it more often. My son Christopher loves the I Spy books. As we sat together reading the other day, I noticed that the cover of Can You See What I See? Once Upon a Time is for the most part symmetrically balanced.
I am keeping this design technique in the back of my mind. I am waiting for the right occasion to try it out.