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Achilles' Heel: The Dip; The Dreaded deadly corrosive sickly green colored acid made of turpentine, benzene, and acetone, three paint thinners that dissolves toons on contact. Thankfully, the dip's weakness is actually water.

For the Funnyz: A toon's whole purpose in life is to make people laugh - humans and fellow toons alike.
Interspecies Romance: Several had feelings for humans (and vice versa), either with or without the Rule of Funny in force.
Green-Eyed Monster: Inverted and averted, male and female toons are not actually the jealous type, they just play these tropes when they're on screen.
Good Is Not Dumb: As cartoony and animated as they can be, some toons may act idiotic, they're not dumb as you think. If you don't like a cartoon or an anime that everyone likes, they wholeheartedly just respect your opinion, whether if they're understandable or reasonable.
Literal Metaphor: As is their nature, they deliberately invoke these as gags whenever they get the chance.
Loads and Loads of Characters: Chances are you'll find a character you loved growing up. And if not, you know they're in there somewhere.
Love Hurts: They can shake off anything you throw at them, but if you break their hearts, they go to pieces.
Medium Awareness: Played with. Not really in the sense that they know they're in a piece of media, but mostly in that they know they're animated representations of human world phenomena.
Reality Warper: While not really brought up, it's heavily implied toons are able to literally do almost anything just as long as they find it mildly amusing.
Rule of Funny: How everything about their entire universe and lives are oriented. For instance, though they can still feel pain, they suffer minimally from it as long as it was at least a little funny. This applies to both them individually and Toontown itself as a whole, where the Rule of Funny affects humans too.
Shave And A Haircut: No golden age toon can resist the old "shave and a haircut" gag. It drives a few toons from the Golden Age of Animation (especially Roger Rabbit) absolutely insane to hear someone doing the knock and not finishing with the "two bits" at the end. that Toons must, absolutely MUST complete the line if the "two bits" is omitted.
Stunt Double: Toons can create temporary versions of them known as "Doppels", short for doppelgängers, which effectively act as stunt doubles that do more difficult and dangerous stunts in cartoons, such as being flattened by an anvil or blown up by a stick of dynamite, then the doppel would disintegrate and fade away soon after.
Toon: Toons of this world are corporeal, space-occupying entities, though it's never explained how they came into being.
Toon Physics: The Tooniverse is shown to run on this, with several characters being shown to survive the occassional Amusing Injury. Everything from making perfectly silhouetted holes to not succumbing to gravity until they realize they're standing in open air. These flexible physics apply to toons wherever they are; a human in Toontown suffers (or benefits) from the same crazy rules.
Thou Shalt Not Kill: For all their zaniness and dangerous stunts, they don't ever kill humans.
Weirdness Magnet: It overlaps with the Rule of Empathy and Rule of Funny as they are helplessly drawn to (no pun intended) and entertain, cheer up, or comfort any humans who are either crying and/or suffering with crippling depression.

Special Tropes for the Tooniverse
Alternate Tooniverse: The Trope Namer itself! The world that all Toons live in is a world where all cartoon characters live and make their episodes, which are then watched by people in the real world, aka Earth. It runs on Toon Physics and is filled with all manner of fictional characters.
The Wonderland: Though it's debatable whether Toontown is better described as a world of cartoon logic.
Toontown: Carried over from Who Framed Roger Rabbit, a suburban Los Angeles district where the Toon community lives.

Powers:
Toons in General - Entertainment Empowerment, Toon Combat, Cartoon Physics, Fun Lord, Supernatural Humor, Laughter Inducement, Comedy Embodiment (limited to Comic Toons and Drama Toons), Age Shifting (especially Human Toons), Empathy, Empathic Healing, Tragedy Embodiment (limited to Tragic Toons and Drama Toons)

Humanoid toons - Humanoid Physiology

Animal toons (or "barnyards") - Funny Animal Physiology