This section provides information on the variation of character interpretations both pre-Crisis and in iterations since Crisis. Focus is on characters defined by their given name (Alan Scott, Jay Garrick, etc.) rather than code name (Green Lantern, Flash). Emphasis is on interpretations where the character had a major role versus a cameo or non-essential story role to minimize clutter.
A special Multiversity consideration is due to the Spectre. As he is considered a literal agent of God and in some cases, the living Wrath of God. It is possible or even likely that, because God is omniversal, the Spectre is also omniversal and thus all iterations of the Spectre across the multiverse are manifestation of the same entity.
The Spectre on Earth-One is indeed a separate manifestation of the Spectre of Earth-Two (Justice League of America #219-220). The Spectre began manifesting on Earth-One in the mid-1960's, shortly after he began appearing on Earth-Two. In early cases, the behavior of the two Spectres was interchangeable (Brave and the Bold #72, 75) but over time, and as Spectre appeared less frequently on Earth-Two, the activities on Earth-One became more vengeful and violent, less committed to solve crimes than punishing the guilty (Adventure Comics #431-440, Wrath of the Spectre #4). Later still, he became further removed from human activities, acting on more god-like scale in executing his divine mission (DC Comics Presents #29, Swamp Thing #49-50 and Annual #2). During the Crisis on Infinite Earths, a version of the Spectre largely believed to be the Earth-One/Earth-Two version directly engaged the anti-monitor and was ultimately rendered comatose. The further activities of the Spectre on this Earth are unrecorded.
The Spectre of Earth-0 is though to have become active in this time line around the rise of the age of heroes on this earth and have a case history largely similar to those recorded on both Earth-One and Earth-Two. History in this timeline provides a more detailed description of the Spectre's activities back to Biblical times. It is revealed that the Spectre has been bound to many hosts over the millenia and Corrigan is simply the most recent. The goal of the Almighty is to condition his Wrath with a human experience, much as he channeled his love through human form in the Christ. The extent to which these observations are true of the Earth-Two timeline is not clear.
While the Spectre was reduced in power after Crisis in this timeline (Spectre Vol. 2), he was later restored to his historic power level. In the later part of the 21st century, the Spectre is extremely focused on his role as the Wrath of God and acts on a global scale, such as a destroying the entire nation of Vlatava (Spectre vol. 3 #13).
Eventually, the Corrigan of this world completes his journey as the Spectre and is allowed to rest, moving on to an afterlife reward as a servant of God. The Spectre force then passed on to former Green Lantern/Parrallax Hal Jordan (Day of Judgement LS) and later still to Gotham Police Detective Crispus Allen (Infinite Crisis #4).
Later still, the Spectre was drawn into battle with an earlier form of God's anger, the demon Eclipso and was seemingly destroyed (Justice League of America Vol. 2 #57-59) with Eclipso absorbing his ancestral powers into himself. Eclipso is eventually defeated but whether the Spectre was restored on this world and where is unknown.
The Spectre has also manifest on Earth-21 in a manner largely similar to his appearance on Earth-Two (I.e. starting in the 1940's, participating with the Justice Society, etc.). His actions after 1960 are unrecorded (DC New Frontier LS).
The history of the Spectre in this timeline is though to be largely similar to his history in other timelines, tho details are largely unknown. He is known to still be hosted by Jim Corrigian in the early 21st century and plays a seminal role in a cataclysmic battle between the first generations of heroes and the undisciplined inheritors by drawing in Father Norman McCay, a human observer of these events and by guiding him through he step, allows him to reason with Superman as the conflict concludes (Kingdom Come LS).
The Spectre's activities on Earth-38 appear to most mimic his activities on Earth-Two, including his membership in this world's Justice Society. Nothing else is known.