Carmen encounters an Angry Guard Dog. She simply tells the dog to "Sit" in a firm tone, and the dog obeys instantly. Carmen Sandiego pulled a Bavarian Fire Drill on a canine.
Ivy's leg strength is quite impressive. She manages to kick open a door held shut by a thick piece of lumber.
Carmen giving Lee Jordan an earful after he flings Zack and Ivy into the ocean at the start of Part 2. You do not threaten children, especially not these two in particular, in front of Carmen Sandiego. Also heartwarming, since it demonstrates the odd bond between Carmen and the two detectives.
Carmen escapes being handcuffed to a support beam by simply pulling the chain right through the crack between two beam pieces, with perfect precision so the top falls right back into place. And she deliberately waits to do it just to see Lee captured.
"The Tigress":
Zach and Ivy hatch a cunning plan to catch Carmen once and for all. Ivy, posing as the Tigress, has Carmen growing increasingly angry as objects she intends to steal are taken right out from under her.
And true to form, Carmen's uncanny escape. She has been handcuffed, and is aboard a transport, surrounded by armed guards and Zach and Ivy. But she manages to use Ivy's rocket boots to make a hasty exit. And then she vanishes from sight, indicating that she was wise to the trap the whole time and had arranged an escape ahead of time.
"The Remnants":
Like "The Stolen Smile", Ivy manages to bust down a door held shut by a thick piece of lumber.
Zack and Ivy using a bit of subliminal manipulation to lure Carmen into a trap. Knowing that Carmen had already had two narrow escapes, they'd left a clue suggesting, ostensibly, the White House Christmas tree. However, the message used the phrase, "Skating on thin ice". Knowing that after a couple of close calls, White House security would be a bit too daunting for even Carmen Sandiego, and the tree at Rockefeller Plaza in New York would be an ideal famous tree for Carmen to nab, Zack and Ivy laid in wait for her there.
Carmen then gets a moment of her own for still being able to make off with the famous tree.
"Retribution" trilogy:
Dr. Maelstrom being depicted using both C4 regularly, and even briefly breaking out an honest-to-goodness flamethrower. How often do you see either of those in a Saturday-Morning Cartoon?
In Part 2, Carmen constructs a Viking longboat solely off a postcard image reference.
Also in Part 2, Ivy demonstrates her leg strength yet again as she frees herself from a pillory just by flexing her legs.
"The Trial of Carmen Sandiego":
Judge R.B. Traitor presses one of Ivy's Berserk Buttons when he threatens to jail Carmen without a trial. Ivy, strapped by steel restraints to a heavy steel chair, manages to stand up while protesting the lack of jurisprudence, straining at her restraints the whole time, and looking like she very well could burst them.
Later on, Zack and Ivy engage in a bit of MacGyvering, making an atlatl from a busted chair leg, flinging a spear, which damages Carmen's escape vehicle while, at the same time, providing a zip line for Zach and Ivy to quickly get from a tower to the ground and take out the villains.
Of particular note, Ivy uses her flying kicks to take down R.B. Traitor, a man who is quite muscular and at least twice her size, if not more.
