Moved to the Galaxy S3 Accessories forum.
And I'm using the best slim case out there - the matte black Diztronic.
This is a great minimalist case. The phone slipped out of my hand just this very morning onto a concrete floor and not a problem.
Instead of the black case, I got this one that matches the Pebble Blue of the phone.
Amazon.com: Diztronic Matte Back Dark Blue Flexible TPU Case & Screen Protector for Samsung Galaxy S III (Sprint, AT&T, T-Mobile, US Cellular, Verizon and International Carriers) [Diztronic Retail Packaging]: Cell Phones & Accessories