Hey Dad..!

Hey Dad..! is an Australian Sitcom from The Eighties, about a widower dad of three kids.

The characters:

Martin Kelly, an architect
Betty: His cousin from the countryside, became his secretary (not a very good one)
Simon: His son
Debbie: His teenage daughter, often goes on dates
Jenny: His little daughter
Nudge: Simon's best mate

Tropes used in Hey Dad..! include:

All Girls Like Ponies: Jenny definitely wants one.
Big Eater: Nudge. Regularly plundering Martin's fridge.
Birthday Hater: One episode revolves around Betty refusing to reveal the date of her birthday, and even claiming that she doesn't have a birthday. It's eventually explained that she once knew a dying child who wasn't going to live to see his next birthday, so she gave him hers.
Breaking the Fourth Wall: Martin did this during the early episodes, but stopped soon. The entire cast did so at the end of the series finale to take a bow.
Chuck Cunningham Syndrome: Nudge's disappearance from the series was never explained. So much for being Simon's best friend.
Country Mouse: Betty, from Walgett
Cousin Oliver: Arthur McArthur, a.k.a. "the little fat kid"
Credit Card Plot: Done multiple times.
Dawson Casting: Christopher Mayer (26) as Simon (18)
Deadpan Snarker: Martin tries to be this. His kids still don't think he's cool.
Did Not Do the Research: Whoever wrote the episode in which it is revealed that Nudge has seen The Terminator 17 times hadn't seen it once. The fact that Ahnuld's character is a cyborg was referred to as a Twist Ending.
Disappeared Dad: Towards the end of the series, Martin Kelly goes to Saudi Arabia for a highly-paid job, and a friend of the family will play the father's role instead.
The Ditz: Betty the secretary. Also, Nudge.
Drop-In Character: Had several drop in characters over the years, most famously "Nudge". Inexplicably, one of the drop in characters, Ben, ended up moving into the family proper.
Everybody Dies: The bizarre finale in which the family is taken hostage by a bank robber who blows up their house. The "dad" of the show's title lived on by virtue of having been absent from the show for some time by then.
The Heart: Betty, since the family lacks a mother.
Missing Mom: Martin Kelly is a widower. In the first episodes, this is sometimes mentioned; later, not so much.
Only Known by Their Nickname: Nudge's real name is Gerald Noritis, but probably even he doesn't remember.
Royal We: Nudge used it, when he became convinced that he was long-lost royalty.

Nudge: I'm doing the Royal We here.
Martin: Well, don't do it on the carpet!

Spin-Off: Hampton Court was only linked to its parent show through the Betty character. It was critically panned and cancelled after 13 episodes.
Standardized Sitcom Housing: by contrast, is set in what appears to be a realistic Australian house. Certainly, most Australian houses will have a separate lounge room (or living room) and kitchen, and many lounge rooms will have more than one comfy chair.
Stealth Insult / Insult Backfire: Martin often does this to Betty, who never gets it.
Suspiciously Similar Substitute: Continued for a 13th and 14th season after the titular character left, with a family friend serving as an unofficial father figure. Over its long lifespan, the show had a nearly complete changeover of cast, with replacements alternating between thinly-disguised substitutes and unexplained Other Darrins.
Thirty Minutes or It's Free: One episode about a diet, or a hunger strike, or something, that ended with the starving characters giving up and ordering pizza - which then never arrives, because one of the other characters deliberately misdirects the delivery guy in an attempt to get the pizza free.
Women Drivers: Debbie