Recommendations

Similarly hollow feeling to the stories. Both are captivating and easy to watch with very nice cinematography. Romance isn't super prominent, and both carry a supernatural theme, with Goblin leaning more on the high-fantasy historical side and YWCFTS more modern and not as "epic".
While Goblin's conflict stays more on the supernatural side of things, YWCFTS' conflict is a murderer. Has a more "earthly" feel than Goblin, but similar overall.

Both great and sometimes sad love stories that are extremely touching.

They are both supernatural. You know... Ghosts... Gods... Grim Reapers... and so on.
In both dramas we have 2 couples. AATM has love triangle but it's not very strong but Goblin has none.
AATM has mystery and suspense but Goblin doesn't.
Goblin is way more hilarious than AATM.
Acting in both is superb.
They both have bromance but the bromance in Goblin is more sweet. hilarious and strong.

these 2 dramas have some similarities. the villain is a spoiled chaebol's son who's the president of a big company. they have issues with anger management and no matter how much evidence the cops have against them, they come clear due to their connections.

If you enjoy the storyline, concept, and the soundtrack in Age of Youth then you will get the same vibes and experience in Soulmate. Although the latter is made for adult and mature audience I think the concept in Age of Youth was taken from this drama. While watching this series it truly reminds me of Soulmate with awesome advise about love, dating and marriage.

Similarities:
-Main female lead is endearing because she takes care of a troubled family.
-Love triangle between main female lead, main male lead and his brother.
-Poor people do cruel things in order to gain power and wealth, only to be unhappy and realize you can't buy happiness.
-Secrets of birth.
-Enjoyable.

Differences:
-Can You Heat My Heart is a makjang melodrama while Stars Falling from the Sky is a slightly melo romcom. The first is serious and heart wrenching while the second is relatively light hearted and funny. They do well in their own genre, though, so they're both worth the watch!

Both have a woman dating a much younger man and struggling - with an older man slowly realising that not only does *he* like her too, but that she is actually a great person and he screwed up in the beginning by not realising it. The only difference is the endings - one has the woman ending up with the older man and the other has the woman ending up with the younger guy (and no, I'm not saying which is which - you'll just have to watch and see!)

They're basically about the same thing, with a slitghtly different approach. Also both have amazing teachers in them, who can speak the "student's language". You will be left with a very similar feeling.

Both are about working hard to achieve a goal. Both have amazing teachers in them, who can speak the "student's language".

Both films have very little dialogue, still the chemistry between the leads is there and the stories are touching.

Both are dark, mysterious dramas, with plot turning upside-down; great cast, more 'adult dramas'

Comedies mixed with melodramas with great cast, showing really great romance

Classic rich-guy-poor-girl dramas with one girl and 'flower boys' living together in one house

In both dramas we have the same male lead.
The characters are that kind of guys that girls wish to have and they treat girls 'good'.

The same male lead in both dramas playing character which was accused of a crime he didn't commit.