Not surprisingly, Zeus is the god you find featured most often in Aesop's fables. I have selected a few fables to include here on this page, and you can find more links below.
Perry 106. Zeus and the Turtle. This is an "aetiological" fable, a story about the cause of something, why something is the way that it is (Greek aetion means "cause, explanation"). This fable explains why the turtle carries its house on its back.
Illustration from Fabulae Aesopi as published in Amsterdam in 1660, with engravings by Karel van Sichem. Text by V. S. Vernon Jonese.
JUPITER AND THE TORTOISE. Jupiter was about to marry a wife, and determined to celebrate the event by inviting all the animals to a banquet. They all came except the Tortoise, who did not put in an appearance, much to Jupiter's surprise. So when he next saw the Tortoise he asked him why he had not been at the banquet. "I don't care for going out," said the Tortoise; "there's no place like home." Jupiter was so much annoyed by this reply that he decreed that from that time forth the Tortoise should carry his house upon his back, and never be able to get away from home even if he wished to.
Perry 117. The Camel who Wanted Horns. This is also an aetiological fable about why the camel has short ears. It's all because he asked Zeus to give him horns:
From An illustrated collection of Aesop's fables translated by Samuel Croxall as published in 1867.
JUPITER AND THE CAMEL. The camel presented a petition to Jupiter, complaining of the hardships of his case, in not having like bulls and other creatures, horns, or any weapons of defence to protect himself from the attacks of his enemies; and prayed that relief might be given him in such manner as might be thought most expedient.
Jupiter could not help smiling at the impertinent address of the great silly beast; but, however, rejected the petition, and told him, that so far from granting his unreasonable request, henceforward he would take care his ears would be shortened, as a punishment for his presumptuous importunity.
Perry 044. The Frogs ask Zeus for a King. This is a more elaborate fable featuring both Zeus and also Hermes as his messenger. In this fable, Zeus does not immediately punish the frogs for their foolishness, but when they persist, he does indeed punish them... but giving them what they said they wanted.
Text by Joseph Jacobs. Image from an edition of Phaedrus published in 1701. Notice that this image shows a terrible watersnake that comes to eat the frogs; in other versions, Zeus sends a stork or heron who eats the foolish frogs.
THE FROGS DESIRING A KING. The Frogs were living as happy as could be in a marshy swamp that just suited them; they went splashing about caring for nobody and nobody troubling with them. But some of them thought that this was not right, that they should have a king and a proper constitution, so they determined to send up a petition to Jove to give them what they wanted. "Mighty Jove," they cried, "send unto us a king that will rule over us and keep us in order."
Jove laughed at their croaking, and threw down into the swamp a huge Log, which came down - kerplash! - into the swamp. The Frogs were frightened out of their lives by the commotion made in their midst, and all rushed to the bank to look at the horrible monster; but after a time, seeing that it did not move, one or two of the boldest of them ventured out towards the Log, and even dared to touch it; still it did not move. Then the greatest hero of the Frogs jumped upon the Log and commenced dancing up and down upon it, thereupon all the Frogs came and did the same; and for some time the Frogs went about their business every day without taking the slightest notice of their new King Log lying in their midst.
But this did not suit them, so they sent another petition to Jove, and said to him, "We want a real king; one that will really rule over us." Now this made Jove angry, so he sent among them a big Stork that soon set to work gobbling them all up. Then the Frogs repented when too late.
Better no rule than cruel rule.
Some more Aesop's fables featuring Zeus / Jupiter:
Perry 003. Eagle and Beetle
Perry 107. Zeus and the Fox ... see this one on the Aphrodite page
Perry 109. Zeus and Shame
Perry 163. Zeus and the Bees
Perry 185. The Donkeys make a Petition to Zeus
Perry 198. Zeus and the Downtrodden Snake
Perry 302. The Oak Trees and Zeus
Perry 508. Trees under the Patronage of the Gods ... see this one on the Athena page
Perry 517. The Dogs send an Embassy to Jupiter
Perry 580.The Covetous Man and the Envious Man (this one also includes Apollo)