Blu-ray disks are packaged in a slightly modified packaging from a keep case that stores DVDs. It's usually translucent blue in colour with the logo being displayed on the top part of the packaging. Not sure what's the standard name for this type of packaging but I've seen the name Blu-ray keep case being used.

https://en.wikipedia.org/wiki/Blu-ray#Packaging

It also seems like there are at least three different types.
http://wiki.mymovies.dk/Casetypes.ashx#Comparisons

Picture: https://commons.wikimedia.org/wiki/File:Blu-ray_keep_case.jpg