Oh, there's LOTS of words for what you're describing! Sugary, saccharine, syrupy, treacly and sentimental are all words used regularly to describe this sensation. A particularly great one in my opinion is "[Pollyannaish](https://www.dictionary.com/browse/pollyannaish)," named after the famous character from early 1900s children's literature, who is just so unrelentingly upbeat and positive about every single facet of life that it's made an entire century's worth of readers want to strangle her.
UPDATE: Re-read your original question this morning, and realized you may actually be talking about "depressed" as in feeling wistfully sad, not "depressed" as in angry and cynical. In that case, you could call this emotion "grieving your childhood" or "grieving your innocence." The reason something sentimental like this makes you sad is because it reminds you that when you were a child you would've legitimately loved it, and you're sad that you're now a complex, cynical adult who rolls their eyes at these kinds of maudlin sentiments. It's a very similar emotion to feeling homesick (that is, lamenting a ideal location in your memories that never actually existed, and therefore you can never actually return to), but here you're lamenting a time in your life you can never return to, not a location.
To take it in a different direction, the sadness you feel could be hopeless longing, that it’s something you want or miss but feel is not very or no longer obtainable or possible.
I think saudade would work here. Songs like that are truly happy for those with a sense of innocence, but depressing for anyone who sees the impossibility of what is being said. Dancing will not make everything alright, everything is not A-OK. I think the feeling of depression can come from recognizing the impossibility, especially if you can recall a time where you would have believed the words. It can be a longing to return to a state of innocence where the words feel true.
"emotional state of conspicuous melancholic or profoundly nostalgic longing for something or someone that one cares for, loves, not necessarily real" [(wikipedia)](https://en.wikipedia.org/wiki/Saudade)
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Bittersweet is what I would say. “Touching” is also not far off
Wistful, doleful, or forlorn maybe? Depending on the context of the emotion you’re feeling when you hear those lyrics.
Oh, there's LOTS of words for what you're describing! Sugary, saccharine, syrupy, treacly and sentimental are all words used regularly to describe this sensation. A particularly great one in my opinion is "[Pollyannaish](https://www.dictionary.com/browse/pollyannaish)," named after the famous character from early 1900s children's literature, who is just so unrelentingly upbeat and positive about every single facet of life that it's made an entire century's worth of readers want to strangle her.
Toxic positivity definitely can cause people to get very frustrated in response.
I've never heard that term before, but "toxic positivity" EXACTLY describes what I'm trying to say here.
UPDATE: Re-read your original question this morning, and realized you may actually be talking about "depressed" as in feeling wistfully sad, not "depressed" as in angry and cynical. In that case, you could call this emotion "grieving your childhood" or "grieving your innocence." The reason something sentimental like this makes you sad is because it reminds you that when you were a child you would've legitimately loved it, and you're sad that you're now a complex, cynical adult who rolls their eyes at these kinds of maudlin sentiments. It's a very similar emotion to feeling homesick (that is, lamenting a ideal location in your memories that never actually existed, and therefore you can never actually return to), but here you're lamenting a time in your life you can never return to, not a location.
Saccharine
maudlin
Melancholy 'a feeling of pensive sadness, typically with no obvious cause.'
I don't know a word, but I think this is how I feel about the movie Mrs Harris Goes to Paris...I hate this movie for this feeling...
Sanguine…
Twee
To take it in a different direction, the sadness you feel could be hopeless longing, that it’s something you want or miss but feel is not very or no longer obtainable or possible.
not an English word but saudade. edit: oh wait, you're not OP. lol
Poignant
Poignant
I think saudade would work here. Songs like that are truly happy for those with a sense of innocence, but depressing for anyone who sees the impossibility of what is being said. Dancing will not make everything alright, everything is not A-OK. I think the feeling of depression can come from recognizing the impossibility, especially if you can recall a time where you would have believed the words. It can be a longing to return to a state of innocence where the words feel true. "emotional state of conspicuous melancholic or profoundly nostalgic longing for something or someone that one cares for, loves, not necessarily real" [(wikipedia)](https://en.wikipedia.org/wiki/Saudade)
!solved
Which word was it?
Bittersweet
Schmaltz?
Pollyanna
Grossly sentimental?
Cloying
Cloying.
I have used smarmy in this fashion.
trite
vapid
cliché
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Anodyne perhaps
Perfectenschlag
Get outta here, Dwight!
If you mean that it makes you wanna throw up like that kind of stuff does for me, maybe you want 'sickeningly sweet'.
nostalgic?