I just finished an abridged re-watch of The Next Generation following this guide. It was a wonderful, superbly distilled experience. If you want to give the show a try for the first time and skip the lame parts — or if you want to go back for the greatest hits — I highly recommend this guide.
FWIW: I skipped the following episodes listed in this guide:
S04E11: Data’s Day
S07E15: Lower Decks