Both stories are about fully grown adults trying to figure out what they want in themselves and in their relations ships. Both series develop the characters the same and seem to have similar types of characters. Love shuffle has more comedy than slow dance
Both stories revolve around a older woman/younger man pairing, whose lives have gone massively wayward from where they thought they would be. Through their interactions with eachother, they both learn to be more confident and to chase after their dreams. Long Vacation is epic in both natural acting and superb use of side characters, but slow dance comes close.