If you were a kid in the late 50's and early 60's, this collection should have a fair degree of nostalgic appeal. Gardner Fox wrote a lot of DC series - e.g. Showcase Presents: The Great Disaster Featuring the Atomic Knights- Volume 1 (Showcase Presents). Much of what was done followed basic formulas - when you saw a new Adam Strange story, you knew pretty well what was going to happen - he would intercept a "zeta-beam" on Earth (often having to cleverly intercept it without other people seeing him do so) and be teleported to Rann (a planet of Alpha Centauri), where he would meet his beautiful girlfriend and partner in heroism, Alanna, a native of Rann. Those two and, occasionally, Alanna's father, Sardath (scientist), were the only constant characters. Rann or at least Ranagar, Alanna's native city-state, would be in danger. Adam would eventually come up with a solution and, then, while he was enjoying his visit with Alanna, the zeta-beam would wear off and he would return to Earth.
The unknown Earthman transported to another planet and becoming a great hero there, is of course, an old standard - see e.g. John Carter of Mars - volume 1 - The Princess of Mars & The Gods of Mars (John Carter of Mars), John Carter of Mars - volume 2 - Warlord of Mars & Thuvia, Maid of Mars (John Carter of Mars) and John Carter of Mars - volume 3 - Chessmen of Mars & Mastermind of Mars. Fox did make it fresh with Adam Strange, at least initially.
Unfortunately, the unvaring plot line eventually became boring. An opportunity that presented itself to change things a little and make Adam a permanent resident of Rann was negated quickly afterwards. I think there was a story in which Adam and Alanna finally married, but, if there was such a story, it was late in the series and isn't in this collection.