Alouette was popular too, of course, but we had so many, very popular, old and more recent classics - poems, roundels, lullabies, gospels, scout's, drinking, military songs, etc., for kids and adults, in several languages, on our side of the big pond:
Instrumental (Le vieux chalet):
and a "pot-pourri", i.e. a medley, interpreted by the ensemble "Cantus Firmus Surselva":
(info about the author only in FR and DE - for T(h)ink): https://de.wikipedia.org/wiki/Joseph_Bovet
Some examples:
(singer) https://en.wikipedia.org/wiki/Henri_D%C3%A8s
(singer) https://en.wikipedia.org/wiki/Chantal_Goya
(singer) https://en.wikipedia.org/wiki/Doroth%C3%A9e
Henri Dès :
Chantal Goya (for Virginia):
Dorothée (Rooster, you cited her!) :
And one of the most beautiful, famous songs for and about children:
(Duteil, FR, author and singer)
(Nana Mouskouri, in English)
About two exceptional artists:
https://en.wikipedia.org/wiki/Yves_Duteil + https://en.wikipedia.org/wiki/Nana_Mouskouri
Some classics:
https://en.wikipedia.org/wiki/Au_clair_de_la_lune
https://en.wikipedia.org/wiki/Dominique
https://en.wikipedia.org/wiki/Aupr%C3%A8s_de_ma_blonde
or, in Italian
Zecchino d'oro:
Schubert:
https://www.babycenter.de/p32689/hans-im-schn%C3%A4ggeloch
In Rumantsch (for T(h)ink):
And, in English, various versions of:
https://en.wikipedia.org/wiki/She%27ll_Be_Coming_%27Round_the_Mountain