I hate phone cases and didn't use them until a couple years ago. I've only ever broken one screen in all of my years owning mobile devices.
Discussion
I wanted so badly to not use a case, but iPhones are slickery as shit without a case. I never drop my phone in a case, and yet I kick them all over the place when they’re case-less!
I haven't dropped a phone in the 20 years I've been using them. It's not something I worry about.