CruzerLite Bugdroid Case
For the Android fan-boy, we have the Cruzerlite series as always. It's called the CruzerLite Bugdroid Circuit series. It's a no-frills simple TPU case that offers total protection without a lot of bulk. And for a low price. These have always been a favorite of mine. In fact, TPU cases are what I'd recommend the most.
They are cheap, effective, and easy to clean. Not to mention replace if needed. This comes in a slew of colors, fits the G6 perfectly (or should) and has a neat Android "DROID" guy on the back and circuit board lines running up the back. It's a neat case for the Android nerd in you.
For whatever reason a lot of LG G6 cases are available, but using photos of the LG G5 from 2016. This should absolutely be for the LG G6 announced in 2017, but email the company just to make sure.