Power Girl's history of appearances from 1976 thru 2005 is available at The Unofficial Power Girl Chronology. Her original adventures are currently being reprinted in the Justice Society trade paperbacks.
Power Girl starred in the JSA series until the series ended with issue #87, July 2006. The series was rebooted as Justice Society of America December 2006 (see Wikipedia: Justice Society of America and One Year Later). Power Girl has also guest-starred in a few issues of the current Supergirl series.
The following list picks up from where the 'The Unofficial Power Girl Chronology' leaves off, filling in some gaps in 2005. This list uses release dates rather than cover dates since it is ongoing. Links are to The Grand Comic Book Database.
DC Comics says: "Discover the origins of one of the DCU's most powerful heroines in this new collection featuring Power Girl stories from SHOWCASE #97-99, SECRET ORIGINS #11 and the sold-out JSA CLASSIFIED #1-4! This collection features her first solo adventure, plus her second secret origin and the sold-out first four issues of JSA CLASSIFIED, key stories tied to the cosmic events of INFINITE CRISIS! Is Power Girl the cousin of Earth-2's Superman? Granddaughter of an Atlantean mage? From the future or an alternate dimension? All Karen Starr knows is that she exists in a world that doesn't fit. When her powers begin changing or blanking out altogether, she searches for answers long denied her. The clues lead her to the deranged Psycho-Pirate, who may break her mind before she learns the truth."
Published August 9, 2006. $14.99 USD. Cover by Brian Bolland.
DC has begun the task of compiling the JSA comics from the 1970's for the very first time, which is great news for Power Girl fans who wish to read her earliest adventures and see how she fits into the JSA.
Published February 7, 2007. $14.99 USD. Cover by Brian Bolland.
Collects ALL-STAR COMICS #68-74 and ADVENTURE COMICS #461-466 — includes the Justice Society's battles with the Psycho-Pirate, the immortal Vandal Savage, the Injustice Society and more. DC Comics book page.