Screw it, I'm bored. Here you go. I'll give a Skip, Watch, or Must Watch for each episode.
TNG Season 2:
The Child - SKIP
Where Silence Has Lease - SKIP
Elementary, Dear Data - must watch
The Outrageous Okona - SKIP, for the love of God SKIP!
Loud as a Whisper - SKIP
The Schizoid Man - watch
Unnatural Selectin - SKIP
A Matter of Honor - must watch
The Measure of a Man - must watch
The Dauphin - SKIP
Contagion - watch
The Royale - SKIP
Time Squared - watch
The Icarus Factor - borderline. Watch or skip.
Pen Pals - borderline. Watch or skip.
Q Who? - must watch
Samaritan Snare - watch
Up the Long Ladder - SKIPPPPPPP!
Manhunt - SKIP
The Emissary - watch
Peak Performance - watch
Shades of Gray - SKIP UGH SKIP
Haha a lot of skips in there. Saving you a lot of time!
Shades of Gray is barely an episode. They ran out of money at the end of the season and did a clip show believe it or not, by having Riker go into a coma and "relive" his memories, I.E. replay scenes from season 2, and not even good scenes.
Season three you can go ahead and go full bore. There are enough great episodes after that point that the occasional stinkers won't kill you.