Supergirl/Ho Yay

Batgirl (Barbara Gordon)

There has been quite a bit of teasing between Kara and the first Batgirl throughout the years.
In their first team-up -World's Finest #169-, Supergirl and Batgirl been imprisoned for several days in another dimension. Once Supergirl manages to break through the dimensional barrier she carries Barbara in her arms. It wouldn't be the last time.
In Superman Family #171 Babs employs mouth-to-mouth resuscitation to save Kara's life.
In Detective Comics #508, Barbara falls off a building, but Supergirl shows up out of nowhere, catches Barbara and flies away with her, carrying her in her arms bridal style. Funny how Kara's always around when Babs needs her.
In Crisis on Infinite Earths #4/DC Comics Presents #84, the whole universe is falling apart. Barbara feels helpless, upset and distraught, thinking she's about to die. She needs to talk to someone, so she calls Kara. Shortly later, she gives Supergirl's eulogy after Kara dies fighting the Anti-Monitor.
In the Post-Crisis universe, no one remembered Earth-1 Supergirl... but Barbara.
In Batgirl Adventures #1, Harley Quinn says everybody thinks Supergirl and Batgirl are together.

Oh, Ivy can't hurt me. She gave me a special shot once so we can play and I won't get sick at all.
You mean you two...?
What?
You and Ivy are... well... *crosses her index and middle fingers in that "I'm implying you're in a relationship" gesture* friends...
Yeah...?
Y'know... friends... like...
Like what everybody says about you and Supergirl?

What?! Who says...? Forget it! Forget it!

—Harley Quinn and Batgirl, Batgirl Adventures #1

Dc Super Hero Girls cartoons and comics provide more examples from Kara and Babs having a very, very close relationship.

Batgirl (Stephanie Brown)

In Batgirl 2009 #14, Supergirl reveals that she watches college movies, concretely the ones with pillow fight and Slumber Parties, and she is just dying to reenact them with Stephanie.
Later, both girls run into trouble, and Supergirl rips off her top to reveal her costume beneath it.

"Aren't you gonna...you know..."
"Not unless you wanna see my bra."

"Does it have a bat on it?"

—Kara and Steph, Batgirl 2009 #14

Wonder Girl (Cassie Sandsmark)

In Supergirl vol. 5 issue #19, Kara seeks Cassie out. Once she finds the blond Amazon, Kara glomps her in midair. And then they kiss.

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