New 52 Supergirl in hanging from a lamp post by her cape. She is dangling there unconscious, apparently left there by the villain Superman is fighting. Source: DC Solicitations

Supergirl is dragged deep underwater by a bunch of tentacle monsters until she falls unconcious from lack of oxygen.

Supergirl gets introduced in Ame-Comi Power Girl #3, and she has a ton of KO/sleepy scenes! First, she is discovered unconscious in a pod by Power Girl. Afterwards, they are immediately attacked by robotic enemies of Braniac. Supergirl is placed in a green energy force field, which contains a sedative! In Ame-Comi...

Livewire blasts Supergirl with an electrical jolt. In another scene, Supergirl is punched out by a large villain. In yet another scene, a villain grabs Wonder Woman from behind.

In Supergirl's first new adventure, she is knocked out by Psi, via a psionic mind blast. We get a nice final panel of her unconscious.

A few pieces of original art I scraped from Deviantart. Mostly by our favorite artist, Mhunt. Also a couple new ones I have never seen before. Credit goes to the original artists.

NOt my favorite Supergirl but a good scene Source: mhunt.deviantart.com

Earth 2 Powergirl (actually Supergirl in a skintight white bodysuit) is blasted senseless by a mysterious evildoer...her ally, The Huntress, tries to help her as the issue ends..pencils by the great George Perez. Source: Blog

Original art by Sofyan Syarief that I dug up in my archives. In this scene, Supergirl apprehends a common criminal...but it turns out he has a kryptonite ring! He uses it to blast Supergirl unconscious. The criminal then ties her to a chair and gags her. To keep her subdued, he places a container of kryptonite in front...

Supergirl is unconscious on the cover at the hands of Superman New 52 issue. Cover by George Perez

In continuation of the cover already posted, Supergirl wakes up only to find she's unable to get free and passes out again. She then wakes up again and with new strength, she frees herself.

Supergirl gets in a fight and is defeated. Her opponent holds her limp body and puts her on display against the wall.

Supergirl is unconscious on the cover. From "Reign of Doomsday"

Nuclear Man pounds Supergirl into the moon! Source: bakart.deviantart.com

Mercy uses her boss kriptonite ring to defeat Supergirl Source: mhunt.deviantart.com

Cover of the upcoming Supergirl #6.

Lana Lang and Martha Kent are bound and gagged by Supergirl after she steals Lana's identity.

During a botched Teen Titans mission, Jesse Quick is knocked out with tranquilizer darts and Supergirl is taken out with a neuro-disrupting arrow.

Round 2 but Supergirl is defeated.. Source: deviantart.com

Soyfan takes on the DCU. These heroines get crushed by Gorilla Grodd. Source: Original art