I tried out the Mr. Shield tempered glass screen protector and had the same issues as many. Not enough coverage and lifted edges all around. Now, once the screen was on, you couldn't see the lifted edges, but with it off, it just looked tacky. I couldn't stand it.
I opted to try the LK LiquidSkin and it's a perfect edge to edge coverage, with just enough space for the lip of my cases. It's film/urethane type lens, so it loses the glassy texture of tempered glass, and adds a bit of an orange peel effect at extreme angles, but so far, I love it. Because it's urethane based, it's incredibly scratch resistant. And I really can't complain for the $3.90 I got it for.
https://www.amazon.com/gp/product/B0...cUvbUpU6399162