Now listen, I will not hear a word said against Rentaghost (or at least the first couple of seasons before it got really silly)
or Knott's Landing! I'd forgotten that one but I was hooked on it too, despite never having watched Dallas. My mum and I used to watch Dynasty but I never liked any of the characters that much, but I loved the main character in Knott's Landing, was she called Karen? And I seem to remember liking the main guy too.
My favourite shows in the 70s were:
Doctor Who (Tom Baker rules!)
Batman (1960s version re-runs)
The Bionic Woman
Logan's Run (tv version, very different from the film)
The Invisible Man
Any other vaguely sci-fi thing, which is weird because I can't stand sci-fi now
Cartoons/ animated shows like Tom & Jerry, Wacky Races, Noah & Nelly, Yogi Bear, The Wombles!! And the lovely lovely Clangers of course.
All the 'classic' British sitcoms, which I watched with my parents; I guess the rude humour just went over my head - same with the Carry On films (I preferred the 'historical' ones though!) and the Pink Panther movies which my dad LOVED 
Lots of comedy / variety shows like those mentioned above, plus The Two Ronnies which ALWAYS seemed to be on in our house!
My dad watched a lot of sport (cricket, horse racing & rugby mostly) so I sat through a lot of all of those and wow, snooker was a big deal in the 80s wasn't it? The world snooker championship final brought the country to a standstill!
(Actually I don't think this is shite) My parents liked historical drama series and let me watch them with them, so I saw (and loved) all or most of:
Secret Army (Allo Allo started out as a direct parody of this show)
The Duchess of Duke Street
Edward VII (starring Annette Crosbie as Queen Victoria and Timothy West as Edward)
Lillie
Edward & Mrs Simpson
The Devil's Crown (mid 70s series about the Plantagenet kings starring Brian Cox!) and many others.
Later, in the early-mid 80s we watched Brideshead Revisited, and all of the series based on the novels of RF Delderfield who had been a friend of my dad's - A Horseman Riding By (with Nigel Havers in his breakout role), To Serve Them All My Days (ditto Belinda Lang), Diana (Jenny Seagrove) - a lot of future well-known actors' careers were launched by these series!
Oh and Tenko. TENKO. And OMG bloody 'Nanny' with Wendy Craig - both the subject of breathless weekly schoolgirl discussions throughout my teens in the 80s.
Also I secretly watched 'The Cleopatras' aged about 14/15 out of sight of my parents as there was a lot of shagging in it, IIRC! 
(Late teens / early 20s)
Moonlighting
Lovejoy (still like it tbh)
CAGNEY AND LACEY. I can't believe I’m the only one! Loved the theme tune!
Good times! 