Some advice for TNG. Don't skip seasons 1 and 2. It's popular but misguided advice. I finished TNG this year and generally enjoyed these seasons despite their flaws.
To that effect, here's an optimized episode watch guide for each. Six episodes removed per season to save you 9 hours in total. Return to the skipped episodes later if you're interested.
<S1 - click to expand>
Watch
Encounter at Farpoint 1x01/02
The Naked Now 1x03
Code of Honor 1x04
The Last Outpost 1x05
Where No One Has Gone Before 1x06
The Battle 1x09
Hide And Q 1x10
Haven 1x11
The Big Goodbye 1x12
Datalore 1x13
11001001 1x15
Home Soil 1x18
Coming of Age 1x19
Heart of Glory 1x20
The Arsenal of Freedom 1x21
Symbiosis 1x22
Skin Of Evil 1x23
We'll Always Have Paris 1x24
Conspiracy 1x25
The Neutral Zone 1x26
Skip/defer Code of Honor 1x04 Lonely Among Us 1x07 Justice 1x08 Angel One 1x14 Too Short A Season 1x16 When The Bough Breaks 1x17
Watch
Where Silence Has Lease 2x02
Elementary, Dear Data 2x03
Loud As A Whisper 2x05
The Schizoid Man 2x06
Unnatural Selection 2x07
A Matter Of Honor 2x08
The Measure Of A Man 2x09
The Dauphin 2x10
Contagion 2x11
Time Squared 2x13
The Icarus Factor 2x14
Pen Pals 2x15
Q Who 2x16
Samaritan Snare 2x17
Manhunt 2x19
The Emissary 2x20
Peak Performance 2x21
Skip/defer The Child 2x01 The Outrageous Okona 2x04 The Dauphin 2x10 The Royale 2x12 Up The Long Ladder 2x18 Shades of Gray 2x22