Jackl used logos FJ Paris, the FJ separated by a snake, and sometimes just FJ.
The first card is illustrated by Th.Robetz, one of a number satirising big hats (1910). Some of these were published by Jorel. The second card was illustrated by Felix-Antoine Marmonier (1874-1914). This may be a political cartoon.
Series of satirical cards issued in limited editions had been invented by Charles Orens Denizard (who use the signature Orens) in 1903. [See Le Burin Satirique logo for this series.]. These were etchings. By the third series, and perhaps from earlier or even from the start, these were published by Jackl. The success of the series concept led to Jackl publishing a coloured series L'Arc en Ciel between September 1904 and November 1906, according to journals.openedition.org/estampe/1090 illustrated by Marmonier using the pseudonym Mille. This had over 100 issues on international political themes and included cards with the FJ-in-a-diamond logo.
There are other cards with a simple printed "F.J. Paris" logo, including cards illustrated by Marmonier and a series illustrated by Orens (Les grand Figures de l'Affaire Dreyfus, 25 compositions Eaux-Fortes colorieés par ORENS). The coloured series L'ACTUALISTE which bore the F&J marque and include the "edit F Jackl" shown below ran from Auguste 1904 to 1914 was also illustrated by Orens.
Cards in these series were issued in limited editions of around 100, sometimes as above hand finished by the illustrator.
I include an example of the work of Orens, though not identified as being by any publisher.