I'm not even going to argue that list. Although that is very current-heavy. Let me add a "classic version" in addition, which would be:

1 - The West Wing
2 - All in the Family
3 - MASH
4 - Coupling
5 - Prisoner Cell Block H

In chronological order of premiere:

1. All in the Family
2. St. Elsewhere
3. Northern Exposure
4. The Wire
5. Mad Men

1.) Spartacus
2.) Dexter
3.) Game Of Thrones
4.) Sons Of Anarchy
5.) Breaking Bad

No longer on tv but worth finding
Mad Men ( absolutely must)
Tudors ( minimum series)
SO A

Current
Masterpiece Theater Poldark
Orange is the New Black

Limiting to 5 might be too difficult.
MASH
Game of Thrones
Dexter
Quantum Leap
House
Monk
Psych
House of Card
Castle
Love Boat
Law & Order SVU
Andy Griffith Show
I Love Lucy
Shameless
Schitt's Creek

So many to choose from....

I loved Breaking Bad from the opening moments.

I was into Walking Dead for a long time but I haven't been able to watch it after they killed of Carl.

LOST

Also in no particular order:

The West Wing
ER (not E/R)
Firefly
MAS*H
Babylon 5

1 and 2. The wire. Black mirror.

Tough, tough question. Here we go: 5) Ash vs. Evil Dead, 4) Parks and Rec, 3) Arrested Development, 2) The Office, 1) Hannibal.

In no order, WestWorld, The Leftovers, Homeland, West Wing, The Terror

1. Game of Thrones
2. Stranger Things
3. Newsroom
4. The Deuce
5. True Detective

Breaking Bad
The Orville
True Blood
Blue Bloods
Star Trek Deep Space Nine

Breaking bad was very good..

1. Silicon Valley
2. Tracey Ullman show
3. LOST
4. Breaking Bad
5. BBC Hidden Killers series

Supernatural. The boys. Grimm. Doctor who. Midnight Texas.

Choosing five that I'm currently really into:

1. The Orville
2. Rick and Morty
3. Crashing
4. High Maintenance
5. Curb Your Enthusiasm

Dare Devil
Stranger Things
Humans
The Expanse
Ray Donovan

Twin Peaks, Seinfeld, Night Court, Fernwood Tonight, Barney Miller

My favorites are probably Dexter and IT Crowd. Some that haven't been mentioned very much (from Netflix streaming): Atypical, Wanderlust, Broadchurch, Longmire, Grace and Frankie, Nurse Jackie

Haven't watched "new" tv series for a while just kind of lost interest with other things to do,... watched a few episodes of Riverdale out of curiosity as to what they would do with the characters.. checked out Black Mirror for the story lines dealing with how Tech is affecting society.

All things considered I think these 5 have some value beyond pure entertainment

X-Files ( first 4 seasons), The Office, MASH, Reboot (animated), and Schitt's Creek ( Canadian)

I assume I am recommending to someone with my exact taste....

1. Breaking Bad (this is an easy number one, all others in no particular order)
2. Mad Men
3. Game of Thrones
4. The Office(I can see the same stuff over and over and giggle every time!)
5. Star Trek Next Gen (I want to be as cool as Picard!)

Deep cut bonus
Freaks and Geeks (brilliant show, ahead of its time. Only one season, but I often wonder what happened to Lindsay after following the dead that summer)

Anyone watch The Black Mirror?

?

I would have to know the person and be aware of their tastes before I could make such a recommendation.

1 The Office - I've watched this show so many times that it is embarrassing
2 The Sopranos
3 Star Trek The Next Generation
4 Breaking Bad
5 Veep- Holy cow this is funny!