There's no spoiler like the GR86 premium gets.
You'll probably get more interior comparison on the August 30th when the reviews are released but similar to the GR86 the two trims have different interior materials. The limited gets a Ultrasuede seats and nubuck-eqsue materials in the interior.
https://media.subaru.com/pressreleas...l-new-2022-brz
Here's the spec sheet that shows whats on each trim: