Supergirl

Kara Zor-El is Superman’s cousin.  When Krypton was attacked by Brainiac,  he took Kandor with him,  while Kara and her parents remained in Argo.  When Brainiac came to consume Argo City,  her parents had no choice but to send her in a rocket headed for Earth.  However,  her rocket was caught in a large kryptonite-encrusted meteor and she arrived on Earth years after her cousin did.

First Appearance:  Action Comics #252 (1959)
Creators:  Otto Binder,  Al Plastino
Powers:  Solar Energy Absorption,  Heat Vision,  Enhanced Senses,  Flight,  Invulnerability,  Superhuman Strength,  Stamina,  and Speed,  Super-Breath

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Issues

Black entries are ongoing series
Green entries are Limited series
Red entries are One-Shots
Orange are alternate universe stories
Blue is for comments

Reading Order

Action Comics #252 – First appearance of Supergirl, Metallo

Superman #149

Action Comics #334

Action Comics #347

Action Comics #360

Action Comics #373

DC Comics Presents #28
DC Comics Presents #29

Superman #423 – Whatever Happened to the Man of Tomorrow?

Read Crisis on Infinite Earths here.

Superman Vol. 2 #21

Adventures of Superman #444

Superman Vol. 2 #22

Supergirl Vol. 4 #1 (1996)
Supergirl Vol. 4 #2
Supergirl Vol. 4 #3
Supergirl Vol. 4 #4
Supergirl Vol. 4 #5

Supergirl Plus The Power of Shazam! #1 (1997)

Supergirl Vol. 4 #6
Supergirl Vol. 4 #7
Supergirl Vol. 4 #8
Supergirl Vol. 4 #9
Supergirl Vol. 4 #10
Supergirl Vol. 4 #11
Supergirl Vol. 4 #12
Supergirl Vol. 4 #13
Supergirl Vol. 4 #14
Supergirl Vol. 4 #15
Supergirl Vol. 4 #16
Supergirl Vol. 4 #17
Supergirl Vol. 4 #18
Supergirl Vol. 4 #19
Supergirl Vol. 4 #20
Supergirl Vol. 4 #21
Supergirl Vol. 4 #22
Supergirl Vol. 4 #23
Supergirl Vol. 4 #24
Supergirl Vol. 4 #25
Supergirl Vol. 4 #26

Supergirl Vol. 4 #1,000,000

Supergirl Vol. 4 #27
Supergirl Vol. 4 #28
Supergirl Vol. 4 #29
Supergirl Vol. 4 #30
Supergirl Vol. 4 #31
Supergirl Vol. 4 #32
Supergirl Vol. 4 #33
Supergirl Vol. 4 #34
Supergirl Vol. 4 #35
Supergirl Vol. 4 #36
Supergirl Vol. 4 #37
Supergirl Vol. 4 #38
Supergirl Vol. 4 #39
Supergirl Vol. 4 #40
Supergirl Vol. 4 #41
Supergirl Vol. 4 #42
Supergirl Vol. 4 #43
Supergirl Vol. 4 #44
Supergirl Vol. 4 #45
Supergirl Vol. 4 #46
Supergirl Vol. 4 #47
Supergirl Vol. 4 #48
Supergirl Vol. 4 #49
Supergirl Vol. 4 #50
Supergirl Vol. 4 #51
Supergirl Vol. 4 #52
Supergirl Vol. 4 #53
Supergirl Vol. 4 #54
Supergirl Vol. 4 #55
Supergirl Vol. 4 #56
Supergirl Vol. 4 #57
Supergirl Vol. 4 #58
Supergirl Vol. 4 #59
Supergirl Vol. 4 #60
Supergirl Vol. 4 #61
Supergirl Vol. 4 #62
Supergirl Vol. 4 #63
Supergirl Vol. 4 #64
Supergirl Vol. 4 #65
Supergirl Vol. 4 #66
Supergirl Vol. 4 #67
Supergirl Vol. 4 #68
Supergirl Vol. 4 #69
Supergirl Vol. 4 #70
Supergirl Vol. 4 #71
Supergirl Vol. 4 #72
Supergirl Vol. 4 #73
Supergirl Vol. 4 #74
Supergirl Vol. 4 #75
Supergirl Vol. 4 #76
Supergirl Vol. 4 #77
Supergirl Vol. 4 #78
Supergirl Vol. 4 #79
Supergirl Vol. 4 #80

Superman/Batman #8
Superman/Batman #9
Superman/Batman #10
Superman/Batman #11
Superman/Batman #12
Superman/Batman #13

Supergirl Vol. 5 #0 (2005)
Supergirl Vol. 5 #1
Supergirl Vol. 5 #2
Supergirl Vol. 5 #3
Supergirl Vol. 5 #4
Supergirl Vol. 5 #5

Supergirl and the Legion of Super-Heroes #16
Supergirl and the Legion of Super-Heroes #17
Supergirl and the Legion of Super-Heroes #18
Supergirl and the Legion of Super-Heroes #19
Supergirl and the Legion of Super-Heroes #20
Supergirl and the Legion of Super-Heroes #21
Supergirl and the Legion of Super-Heroes #22
Supergirl and the Legion of Super-Heroes #23
Supergirl and the Legion of Super-Heroes #24
Supergirl and the Legion of Super-Heroes #25
Supergirl and the Legion of Super-Heroes #26
Supergirl and the Legion of Super-Heroes #27
Supergirl and the Legion of Super-Heroes #28
Supergirl and the Legion of Super-Heroes #29
Supergirl and the Legion of Super-Heroes #30

Supergirl Vol. 6 #1 (2011)
Supergirl Vol. 6 #2
Supergirl Vol. 6 #3
Supergirl Vol. 6 #4
Supergirl Vol. 6 #5
Supergirl Vol. 6 #6
Supergirl Vol. 6 #7
Supergirl Vol. 6 #8
Supergirl Vol. 6 #9
Supergirl Vol. 6 #10
Supergirl Vol. 6 #11
Supergirl Vol. 6 #12
Supergirl Vol. 6 #13

Read Superman: H’el of Earth here.

Supergirl Vol. 6 #18
Supergirl Vol. 6 #19
Supergirl Vol. 6 #20
Supergirl Vol. 6 #21
Supergirl Vol. 6 #22
Supergirl Vol. 6 #23
Supergirl Vol. 6 #24

Read Krypton Returns here.

Supergirl Vol. 6 #26
Supergirl Vol. 6 #27

Read Red Daughter of Krypton here.

Supergirl Vol. 6 #34
Supergirl Vol. 6 #35
Supergirl Vol. 6 #36
Supergirl Vol. 6 #37
Supergirl Vol. 6 #38
Supergirl Vol. 6 #39
Supergirl Vol. 6 #40