The CBS 'Supergirl' pilot episode features Supergirl getting knocked out with a Kryptonite dart. Supergirl is played by Melissa Benoist.

Supergirl crash lands on someone's roof. A nicely drawn splash pages shows her unconscious on the ground.

General Zod punches out Supergirl in a fight. Contributed by ProjectX

Full manga title: Uchi no Musume ni Te o Dasu na! - Oyako Heroine Funtousu. It's a fun, sexy manga about a mother/daughter superheroine pair. The daughter is called "Eighth Wonder". The costumes they were are inspired by Wonder Woman and Supergirl. This is Japan though, and they love to throw in their own twists! T...

Original art from: https://ragalangit.deviantart.com/art/Supergirl-vs-Black-Flame-61772815

Supergirl is unable to defeat Livewire, and is carried away unconscious. Original artwork! http://sleepy-comics.deviantart.com/art/Supergirl-Electrocuted-688597276

This was a promo picture released by The CW's Supergirl TV show. Melissa Benoist plays Kara (Supergirl) in the show. This image is supposed to be a homage to the famous Crisis comic cover with Superman carrying Supergirl. Credit: this image was created by: http://sleepy-comics.deviantart.com/art/Supergirl-Season-Two-6...

Original art I made. View the full drawing on deviantArt: http://sleepy-comics.deviantart.com/art/Mr-Luthor-will-see-you-now-Supergirl-573369592

The Titans are facing Raven and her mind controlled superheroes including Supergirl. Multiple ko's in this issue

DeviantArt page: http://sleepy-comics.deviantart.com/art/Supergirl-chloroformed-by-Galatea-483863539

Superman and Supergirl get captured by aliens. Kara is shown unconscious a couple of times but no scene of her passing out.

flashback KO

This scene played out again :) Source: mhunt.deviantart.com

out like a light! XD Source: mhunt.deviantart.com

Earth 2 Supergirl (Powergirl) holds an unconscious New 52 Supergirl Supergirl vol 6 #20 http://dc.wikia.com/wiki/Supergirl_Vol_6_20 Characters: Powergirl, Supergirl Source: DC Previews

The splash page of this comic shows a bunch of the superheroines unconscious. They are in a room running out of oxygen. They are rescued in the next page. Supergirl also has some good unconscious scenes. I've held back on posting the whole thing (as it would basically be the whole issue), but you can find the rest.

Superman walking back with an unconscious Kara after a fight with her. Wonder Woman is also shown throwing down Granny Goodness, who is tied up in her lasso

First, Kara is seen in a test tube of some sort until her father takes her out of it. Later, she faints and is carried into a spacepod.

Dark Supergirl knocks out the female Flash, Robin and Catwoman. Then WW comes along and defeats Supergirl, giving the others time to recover. Good view of the unconscious Catwoman. There's also a small bondage scene featuring dark Supergirl, viewing her from the back.

Brainiac chokes Supergirl and turns her into evil, dark Supergirl. No KO's but it's peril.