Comparing some of the screencaps between the old DVDs and blu-ray really shows the benefits of this remastering. For such a long time the show used to look flat and as a result sometimes felt unremarkable, even when compared to the 2004 DVD release of TOS as that was at least produced on film rather than video. This screen comparison I put here really sums it up for me, and this is only when the HD cap is resized to the DVD's native 480.
DVD 2002
Blu-ray 2013
The TNG cast were not kidding when they say the show now looks like it was shot yesterday. It really does. This kind of clarity adds something to these TNG viewings. Now looking just as good as its written.