The Cartoon Network Universe/Multiverse does not work in the normal constraints of time. While there are hints of "real time" due to the occurunces of specific dates and time travel, much of the universe works within “Peanuts time” in which the characters don't age and time isn't specific. Most of the characters realize that they are inside of a cartoon universe, and are constantly breaking the fourth wall, which leaves continuity somewhat ambiguous. Also, the science and mythology of this universe (including time travel and super natural beings) leaves continuity to be questionable.
However, as said in Time Squad by Larry 3000 "time is like a rope, and, as it is woven at one end, ages and gradually unravels and frays at the other." The Time Squad units are sent into the past to make sure time stays the same instead of fraying like the rope, which is why we can assume for the most part that the series occur on one continuous timeline with the exception of the future sequences of Samurai Jack due to the fact Aku shows no presence in the other series. It can be assumed that the main timeline occurs as a result of Jack completing his quest.
Tuddrussel squashes a fly and causes a butterfly effect
Fire is discovered 
The Spartan army brings the fabled Trojan horse to the King of Troy's birthday festivities, but fail to realize that it is supposed to be a trap, not an actual gift
The Time Squad help the Chinese philosopher Confucius come up with shorter bits of wisdom.
The Time Squad are on a mission to keep Cleopatra from turning the pyramids into a shopping mall. Tuddrussel falls in love with her and Larry is eager to help with the project.
The Time Squad rebuild the flimsy city of Rome for Julius Caesar, but by the time the mission's complete, Tuddrussel is hailed the new leader and challenges Caesar to a gladiator match.
Time Squad visits Robin Hood, who is stealing from the poor and giving to the rich instead of robbing from the rich and giving to the poor.
The Time Squad tries to reform Kublai Khan, who is now a comic book nerd, by ripping up his comics; this only puts Tuddrussel on death row. When Larry and Otto can't get Tuddrussel out, Larry calls Tuddrussel's ex-wife, Sheila (also a time cop) and her robot partner, the XJ5.
The Time Squad meet up with famous artist and sculptor Leonardo Da Vinci, who is now a beatnik.
The Time Squad help Nicholas Copernicus become an astronomer instead of a farmer, but the crew ends up waiting until the Larry 3000 can restart his time travel software in order for them to go home. After they finally leave, Copernicus realizes that he knows nothing about astronomy.
Hernando de Soto
Ivan the Terrible is king of Russia
The Time Squad go back to the Age of Pirates, where Edward Teach (a.k.a. Blackbeard) is more concerned about saving the environment than looting and pillaging.
The Earl of Sandwich gives his new food a disgusting name, 'Stinky pile of poo'
The Sons of Liberty are having civilized tea parties. Tuddrussel and Otto have to convince them into dumping the overtaxed colonial beverage for the sake of all America.
While checking up on the Sons of Liberty, the Time Squad get a report from George Washington, whose troops are with Betsy Ross in her Woodstock-esque hippie farm. Two members from the Sons of Liberty help save their mission when they bring coffee and get them to help Washington.
Tuddrussel and Larry solve a mission to get Benjamin Franklin to be an author of the Declaration of Independence.
Eli Whitney is building flesh-eating robots instead of the cotton gin
The Time Squad get sentenced to the guillotine when they end up in 18th century France, and Buck mistakes Napoleon Bonaparte for a child. Napoleon's wife is nagging him around and Napoleon is too cowardly to stop her.
Ludwig van Beethoven is a pro-wrestler fighting other classical musicians turned wrestlers. Tuddrussel challenges Beethoven to a match to preserve the dignity of wrestling.
Lewis & Clark have broken up. While Larry is left to comfort Lewis, Tuddrussel and Otto find Clark, who become his exploring partners
Edgar Allan Poe is an overly cheerful children's books author, but is reminded of how horrible the world really is by the Time Squad.
Abraham Lincoln grows tired of being honest and upstanding and begins playing pranks on people
George Washington Carver and his twin Todd are born
Buffalo Bill is a crazed conspiracy theorist with his own tabloid magazine that no one reads.
The Time Squad deal with Sitting Bull, who wants to party with younger people after misinterpreting a vision from his ancestors.
The McCoys are too cowardly to fight against the Hatfields. Things get worse when Larry teaches the McCoys to get along with the Hatfields instead of feuding.
Louis Pasteur, is making Kool-Aid-style fruit drinks.
Harry Houdini uses his illusions for criminal activity.
The Time Squad convince Sigmund Freud to stop hypnotizing his patients and making them act like animals.
Late 1890s/Early 1900sEdit
Professor Hawk is born
Orville and Wilbur Wright are incompetent stuntmen
George Washington Carver has an evil twin brother, Todd Washington Carver, out to make George look bad.
gangster Al Capone is turning his fellow mobsters into clowns while clowns are getting involved in crime.
Winston Churchill, the prime minister who led England through World War II, is also leading everyone into being naked.
Albert Einstein is a car salesman in Texas.
Darbie Franchise is created 
Shorty Arbuckle's team wins the basketball championship 
"Bicentinial Kristal" Darbie doll is put on the market 
Mount Rushmore is brought to life by Dexter and Mandark 
After arguing with Tuddrussel over being overworked and under appreciated, the Larry 3000 tries to upgrade himself, but accidentally gets a downgrade and becomes subservient to Tuddrussel and begins serving him nothing but hamburgers.
The Jetsons meet the Flintstones after a time machine malfunctions.
Flies rule the future