Actually in France we have both design!
The second one is rarer but you can see it on the "Tarot de Marseille"
It's a different set of cards, in this form there called "lames" (blades) or "arcanes" (arcana)
The set is divided in 4 colors also called family: "épée" (sword), "coupe" (cup, but think of it as the same type of cup as the saint grail), "bâton" (club) and "denier" (it's an old coin)
This compose the 52 "arcanes mineurs"
In addition there also 22 "arcanes majeurs" called "atouts"
And it is usually recognize because it's the base of the Tarot use for divination
But now it's generally used to play the eponymous game of "Tarot", a very good and very old game that me and my friend played a lot at uni
Yes but also not only, we have MANY more design of tarot card, especially when considering "atouts/arcanes majeurs" as here a deck of tarot is an object of play but also an object of collection
Here an example