Sen to Chihiro no Kamikakushi, Gake no Ue no Ponyo Recommendations
Same director. Both are visually stunning and have a distinct Gibli, magical quality to them.
Ponyo and Spirited away are very similiar when it comes to the overall feeling. Its very cute and mysterious. And you really love the maincharacters in both. While Spirited Away is a bit more serious both are very lighthearted anime movies. Also Studio Ghibli made both.
"Ghibli vibe". Because Ghibli seems to bring forward a connection like no other studio.
In a more concise outlook, the two titles have female child protagonists who seem to be working the hardest in going onward with their quest. I suppose this is less true in Ponyo, with it being more of a duo effort, but I do believe it stands how both female MCs in each movie does push forward more so than others I have seen, especially for such littluns.
If Ghibli's name doesn't sell these two movies to you, then I don't know what will. Great with the family.