Per wiki policy, Spoilers Off applies here and all spoilers are unmarked. You Have Been Warned.

Both animes

As a young girl, Kino, who's never ridden a motorrad before, manages to escape an entire town that's out to kill her by riding on Hermes.

Episode 2: Kino kills the slave traders after initially complying with their demands to disarm herself. Despite them having her dead to rights, she takes advantage of a momentary distraction caused by some falling snow and shoots one with a hidden gun in her final knife, stabs the second and uses him as a human shield, then throws the second against the third man, pinning the latter down before finishing him off.
Episode 6: When Kino gets harassed by the guards for being a boy, she calmly shoots off the helmet of one guy.
Kino: I told you not to call me 'boy'.
- Immediately after, the guards start showing respect to Kino, calling her 'Kino-san' rather than 'Kino-kun'.
Episode 7: Kino figures out how Shizu was able to beat the other Persuader user, and Shizu states it after the battle he has with Kino; he has god-tier reactions, being able to dodge the bullets simply by taking note of where Kino is looking and when she pulls the trigger. Kino then uses that fact to assassinate the king in one shot.
Shizu: My god...
Kino: I am no one's god.

Episode 1: Kino meets a man along the road to a country where murder is legal. He says he wants to live a life where he can just kill people if he feels like it. Later he shows in the same town, loudly threatening to kill Kino if she doesn't give him her stuff. Then the kindly, pleasant townspeople gang up on him, calmly subduing him with arrows before an elderly man, Mr. Regel, executes him with his Sword Cane.
Mr. Regel: Just because something is not prohibited, does not mean it is permitted.
Episode 2: Kino easily curbstomping all of her opponents in the Coliseum, and then taking advantage of a local law to "accidentally" kill the country's King when she "misses" one of her shots. Not only that, but with the King dead, Kino uses her status as the winner to institute a new law that the last person standing will be the new King, essentially singlehandedly destroying an entire country.
Episode 3: Kino displaying her Improbable Aiming Skills by being able to effortlessly snipe binoculars off of soldiers without harming them, and shooting missiles out of the air with her rifle.
Episode 7. Kino's master not only breaks her apprentice out of jail, but holes up with him in the clock tower, knowing that they can't simply sneak out. The two of them use their marksmanship skills to hold off the soldiers for three days and nights, and even force the government to pay them to leave. The entire plan is Refuge in Audacity at its finest.