Every single Mexican and Brazilian soap opera (and most Korean ones that is over 40 episodes long) is this in spades. You always have the poor girl, who gets beloved with the rich guy, who also falls in love but has a scheduled marriage with another woman (which usually is only interested in his money only), the Corrupt Corporate Executive who is the good guy's rival and wants to get his fortune (and sometimes teams up with the evil woman to do so) and so on and so on.
The A-Team is an example of an effectively fun Cliché Storm. You know the show's basic formula after an episode or two, but the characters, explosions, and A-Team Firing make the plots entertaining.
The Charmed episode "Chick Flick" parodies all the typical slasher movie cliches when a demon releases psycho killers from horror movies and sends them after the sisters. Since their powers don't work on the killers, the sisters have to follow the typical cliches. And there's a nice little shout out to Psycho.
Piper: "I'm being stalked by psycho killers and I hide in the shower?"
Emily in Paris: The series has been criticized by reviewers (especially the French) for being this, and not in a good way. Basically, they feel it's portraying every French stereotype including the French Jerk stereotype, and pretty negatively too.
Gilmore Girls has an episode in which Rory is moving into her college dorm and another student has lost a bet against his girlfriend and must only speak in cliches. Naturally, a cliché storm follows.
In How I Met Your Mother episode 3x04 "Little Boys" Robin breaks up with a kid. She realises that he has never been dumped before and she takes advantage of it by using "every cliché in the book":
Robin: We need to talk. I just think, um, we both could use some space right now. It's not you. It's me. Look, I know this hurts, but you deserve someone better. I'm just really trying to focus on my career right now. You know? I just hope we can still be friends.
Alton Brown's commentary in Iron Chef America has been this from the start. The Chairman's conversations with the challenger have turned into this.
La CQ plays more like a stereotypical US high school series, only set in Mexico and with (juvenile) comedycliches thrown into the mix, while the characters are unrelatable due to being high-school stereotypes.
In the season 3 finale of Leverage, the team writes a speech for a politician that is intentionally made up of nothing but political speech clichés. The public eats it up. Granted, it was a small country with a one-party democracy, so the public wasn't yet disillusioned with political cliches, and the team took advantage.
Col. Blake of M*A*S*H attempted to give a Rousing Speech in "Crisis" but ended up giving the speech version of this trope. Lampshaded by Trapper:
Trapper: Welcome to the Henry Blake Cliche Festival.
Perfect Disaster. A short Mockumentary-styledDocumentary series that focuses on horrible natural disasters—ice storm, fire storm, but the most notable is the cliché storm. While the narrator and various experts explain the science behind the phenomenons (sometimes in cut-away scenes), each episode tells a fictional story about how the citizens and the local government of a given town/city would react to them. The set-up of these stories borrows everything from clichéd disaster movies—mediocre (but decent enough for a TV series) effects, overused character archetypes and interactions, even the camera angles can be guessed if you are savvy enough. While this may undermine the intended realism for some viewers, others enjoy it.
Prison Break — Okay, maybe it's not quite a storm, but just too many of the characters are overly familiar—the ominous, shade-wearing government guys, the oblivious warden, the brutish guard captain, the aged Mafia guy with an Italian name, the sweet-yet-daring female leads...doesn't have to mean it's a bad show.
Reboot The Guardian Code hits this hard. While the original series would often affectionately parody various cliches about video games and cartoons, this one plays it straight. The heroes are ordinary high school students who find that the video game they like playing together was really meant to Recruit Teenagers with Attitude to stop a Generic Dooms Day Villain who doesn't do anything but menacingly spout threats about his Evil Plan.
Red Dwarf: Lampshaded in series XI when a bunch of evil simuloids use Time Travel to conquer the Earth's past, and Lister calls them horribly cliché. This continues later in the episode (paraphrased):
Similar to Justirisers up there, Seven Star Fighting God Guyferd (which was also made by Toho) borrows a lot of Henshin Hero cliches, but marries them with a well-rounded cast and great suit designs to make for an entertaining show.
Of note is the Star Trek: Deep Space Nine episode "Our Man Bashir", which is mostly an Affectionate Parody of early James Bond movies, which manages both a holodeck malfunction and a transporter malfunction, which can only be sorted out by main character Julian Bashir remaining within the holodeck to save the rest of the crew!
Maybe we weren't meant for paradise. Maybe we were meant to fight our way through, struggle, claw our way up, scratch for every inch of the way. Maybe we can't stroll to the music of the lute. We must march to the sound of drums.
The characters would occasionally indulge in volleys of cliches. O'Neill in particular had a tendency to refer to the Goa'uld as having "very clichéd" behavior, and the last scene in the series is of the characters reciting various proverbs and cliches.
"The probe indicates a sustainable atmosphere. Temperature 78 degrees Fahrenheit. Barometric pressure is normal." "No obvious signs of civilization." "P4X-884 looks like an untouched paradise, sir." "Appearances may be deceiving." "One man's ceiling is another man's floor." "A fool's paradise is a wise man's hell." "Never run with... scissors?"
In the very last episode of Stargate SG-1, at the end, the team use a large amount of cliches to describe what they've learned from their experiences. "Beggars can't be choosers. Better late than never. Look before you leap." "The best things in life are free."
Vala: Let me guess, beauty is only skin deep?
Daniel: Silence is golden.
Cam: Jack of all trades, master of none.
Sam: Nothing ventured, nothing gained.
Then Vala says "Life is too short", a statement repeated throughout the episode (and Daniel and Vala's time-erased relationship) but supposedly forgotten when the Reset Button was hit. Suggesting, interestingly, that somehow Vala remembers what happened.
T.J. Hooker is very guilty of being this for cop shows. Every storyline, you've seen before. All of the character types and stereotypes are here. The villains tend to have no characterization, largely being inhumane monsters. The show is such a Cliché Storm, that you might think you're watching a parody of cop shows rather than the real deal.
On The West Wing, when Bartlet debated his Strawman Political opponent Robert Ritchie, we hear a snippet of one of Ritchie's responses that goes like this:
...and the partisan bickering. Now, I want people to work together in this great country. And that's what I did in Florida, I brought people together, and that's what I'll do as your president: end the logjam, end the gridlock, and bring Republicans together with Democrats, 'cause Americans are tired of partisan politics. (Applause)