Just 5? Impossible to choose! There are so, so many to choose from. Mr Robot, Six Feet Under, Breaking Bad, Better Call Saul, Mission Impossible, Blake's 7, Doctor Who, Hitchhiker's guide, Absolute Power, House of Cards, The Sopranos, Fawlty Towers, Monty Python, Mad Men, Porridge, Boys from the black stuff, Open All hours, spitting image, Red Dwarf, Steptoe and Son, Alf Garnett, The Young Ones, BSG, The Red Line, Spaced, Peep Show, Look Around You, Sapphire & Steel, The box of delights, The day today, time trumpet, Succession, Babylon 5, The Thick of It, Black Mirror, Veep, dragnet, the x-files, buffy the vampire slayer, Frasier, Quantum Leap, The wonder years, The Simpsons, Futurama, the danger five, lost in space, star trek, kung fu, the green hornet, roots, the addams family, the munsters, looney tunes, tom & jerry, Spongebob Squarepants, Rugrats, Space Dandy, Kimba the white lion, Gatchaman, I Spy, The Flintstones, Tinker Tailor Soldier Spy, A very british coup, Mork & Mindy, Happy Days, Till Death do us Part, Stingray, Captain Scarlet, Thunderbirds, Alien Nation, Hawaii Five-O, The Clangers, Button Moon, New Adventures of Superman, Samurai Jack, Batman, Batman cartoon, The Monkees, I dream of jeannie, Bewitched, Randall & Hopkirk, Twilight Zone, night court, dad's army, the muppets, sesame street, get smart, to name just a few!
But I'd go for:
M*A*S*H*
The Wire
Yes, Minister
The Simpsons
Police Squad