Common in tokusatsu shows, at least up until the 1980s or 90s:
Power Rangers in every incarnation. Quite possibly the worst offender. The original theme song consisted entirely of the lines "Go go Power Rangers / Mighty Morphin' Power Rangers." The first season version had two lines of exposition in the beginning to explain the plot of the show, one of them was the Trope Namer for Recruit Teenagers with Attitude, and a longer version of the song, with verses, often accompanied the Thunderzords into battle.
Power Rangers Light Speed Rescue had two lines, followed by endless repetition of the title, made worse by the fact that the music repeated as well.
"Kamen Rider Dragon Knight, together we can fight the fight!" Ironically, its original Japanese analogue Kamen Rider Ryuki (like almost all Heisei era Kamen Rider shows) averts this trope, giving each series a potential top-40 single as its theme song (Kamen Rider Decade had a theme song by popular J-rock artist Gackt).
"Chou-henshin! Kamen Rider Kuuga!" (with extra doses of just "Kuuga" preceding that) and "Ready to go, Count ZERO, Kamen Rider Agito" count. They are the only Heisei shows that follow the trope because they were produced before the record company switch.
Going with US Tokusatsu themes (and speaking of the Ultra Series), there was also: ULTRAMAAAAAAAAAAAAAAAAAAAN! TIGA!) ULTRAMAAAAAAAAAAAAAAAAAAAN! (Laaaaarger than) Larger than Life, ULTRAMAN!
The theme song, "Bandstand Boogie", was not written for the series, and was an instrumental. It was played unaltered for most of the run of the series. The trope only applies after Barry Manilow wrote lyrics for it, and recorded his version especially for the program.
Notably, it managed to get an instrumental award; that's right: its vocals were deemed instruments.
Beat Shazam used for its first three seasons "Let's Groove" by Earth, Wind and Fire as its theme tune. Beginning in the fourth season, however, they have a short original tune, with a group of vocalists singing "Let's see if you can beat Shazam!"
"Between the Lions between the covers of a book, it's time to look Between the Lions."
Bill Nye the Science Guy. Mention it to any kid who was between 5 and 15 in the 90s, and rather than mention a specific episode or parody song, they start singing the Theme Song.
"Bill! Bill! Bill! Bill! Bill! Bill!"
Ten years later and smarter, and I still can't tell you a thing about Inertia except that it is a property of matter.
Likewise, my only opinion about Science is that it rules.
"With our hocus pocus, you're in focus, it's your lucky day! Smile, you're on Candid Camera!"
"There's a holdup in The Bronx, Brooklyn's broken out in fights / There's a traffic jam in Harlem that's backed up to Jackson Heights / There's a scout troop short a child, Khrushchev's due at Idlewildnote The airport now known as the John F. Kennedy International Airport / Car 54, Where Are You?
"Crash & Bernstein Crash and Bern...(stein!) Crash and Bern...(stein!) Crash and Bern...(stein!) What he said!"
In France, Soap Opera viewers are probably considered morons, since most soap dubs get a Title Theme Tune (most notably Dallas[1] and Santa Barbara[2]).
Here's How, an obscure Edutainment Show seen on a limited number of PBS stations and also on TVOntario. "When you want to know how things really work, here's how, here's how. So much for us to learn about, lots to see and do. So follow us, we'll show you now, here's how, here's how!"
The last two seasons of the Tom Bergeron version of The Hollywood Squares turned Teena Marie's song "Square Biz" into one of these. ("Everybody get up.. it's the Hollywood Squares!")
"Imagination Movers, you got to think about it! Imagination Movers, you got to talk about it! Imagination Movers, you got to sing about it! I think what this situation needs is some imagination!"
Parodied by the theme to It's Garry Shandling's Show: "This is the theme to Garry's show/The opening theme to Garry's show/Garry called me up and asked if I would write his theme song..."
"It feels like a party every day! Hey, Jessie! Hey, Jessie!"
"She's a doll, she's a queen, she's a tantalizing teen, and Karen is her name..." Performed by The Beach Boys, no less.
"We'll call it Kidsongs, tapping our feet. Soon everybody's gonna get to / everybody will get into the beat."
"The thing that we should treasure, now and forever, is L-O-V-I-N-G!" (Loving)
A Bing Crosby tune of the same name is used very ironically in Love Thy Neighbour, where the relationship between neighbours Eddie Booth and Bill Reynolds is anything but loving. Or even respectful.
Beginning in the eighth season of My Cat from Hell, during the intro, a guy can be heard singing in the background "My Cat From Hell! / My Cat From Hell!"
"The flashy girl from Flushing, The Nanny named Fran!"
"You might think I'm actin' funny. Might not take me serious. You won't know you're winning money. 'Cause you are Oblivious! Watch out for Oblivious!"note A "hidden-camera game show" that once aired on Spike TV.
"Oobi's like me. Oobi's like you. Oobi has a lot of big things that he's gonna do."
A variation of "Run On," the late '90s-early 2000s theme from The Oprah Winfrey Show, title-drops her iconic first name.
"Out of the Box / Yeah, when you arrive... / Out of the Box / Pictures come alive / There's music in our hands and in pots and pans / Out of the Box / Oh, yeah / Out of the Box..."
"Come on everybody, and Mousercise! Let the music move you, till you're carried away..."note It was originally the theme to the record album also called "Mousercise" that was released the previous year.
"Just You and Me, Kid! We're quite a pair..."
This is Older Than Cable. Notably The Mickey Mouse Club and Walt Disney's Wonderful World of Color.
Get Some In! included the series title ("some" referring to National Service, the compulsory two years' military service for healthy males aged 17 to 21 in Britain between 1949 and 1960) as part of a rallying cry: "It's time for National Service, lads, so get some in! / They'll tell you "no" if you ask your dads to get some in..."
If you live, or have lived in Peru, or other countries where it was broadcast, you may or may not remember this:
¡"Sube, a mi nube, Nubeluz! ¡S-s-s-sube, s-s-s-sube!"
The English version from the one-off pilot is equally catchy:
"...I'm at WKRP in Cincinnati!"note This especially makes sense, since it's meant to (at least slightly) resemble a radio jingle.
"Hello, hello, hello! Hello, hello, hello! Hello, hello, hello! It's time for Xuxa and her friends!..."
"Eo, eo, eo! Eo, eo, eo! Eo, eo, eo! O Xou da Xuxanote "Xou da Xuxa" ("The Xuxa Show", with "X" pronounced like "SH") was the name of her show in Brazil at the time. começou!..."
"¡Eo, eo, eo! ¡Eo, eo, eo! ¡Eo, eo, eo! ¡El show de Xuxa comenzó!"
"Me, and you, and Zoboomafoo come along and see what's new, we're doing the things the animals do."
"Come on and Zoom-zoom-zooma-Zoom! Zooma-zooma-zooma-Zoom!"
"All your friends are here, we're good to grow, so won't you come and join us on The Sunny Side Up Show? Sunny Side Up, Sunny Side Up, Sunny Side Up Show!"
A long running Japanese TV variety show called "Waratte Iitomo" (loosely, "It's Okay to Laugh") does this in its theme tune:
"Jikan doori ni COME WITH ME / Waratte Iitomo / Uki uki watching..."
"Chico, don't be discouraged. The man came so hard to understand..."
A straight example occurs near the end:
"I know things will be better. Oh, yes they will for Chico and the Man / Yes they will for Chico and the Man"note Even though it funny he don't understand, yeah...
The ending theme as well:
"When times are hard! Chico and the Man! When times are hard! Chico and the Man..."
"Ding dong, knock knock, hey nanny noo! Bing bong, tick tock, bee bop boom! Flip flop, up up, meenie miney moo! Bompity stompity Romper Room!"note This later went on to be used for most if not all of the locally made versions of the show as well.
"Ik ben Kabouter Plop en samen met mijn vrienden. Kun je me altijd in mijn paddestoeltje vinden".[[note]]"I'm Kabouter Plop, and together with my friends, you can always find me in my mushroom."
"A horse is a horse, of course, of course, and no one can talk to a horse of course, that is, of course, unless the horse is the famous Mister Ed..."
The Doodlebops: The words "We're the Doodlebops!" are repeated several times throughout this show's theme song.
"Look outside, see the sky, welcome to our Wiggly Waffle show, for you and your friends, good morning, Sprout's Good Morning, let's go!"
" (you would never guess what lyrics are used to introduce the Supermatch Game round).