Batman, has his origins in pulp fiction and semi historical vigilantes, as well as opera . But he has taken a Boogeyman style persona. Akin to Sac Man and Pucca
Green Lantern is based on the myth of Aladin and the Genie and his latern.
The idea of a flame of willpower has Promethean connotations, and Apollo also of the flame has association with arts and imaginition as do lanterns.
This also gives a cool loop back, Flash and Lantern have a set relationship like Supes and Bats. First as the flagship characters of All American Comics (just as Supes and Bats were for Detective Comics) then as the archons of the silver age.
Note Flash's association with Electricity, and Green Lanterns with Light, aka the Electromagentic Spectrum, Electromagnetism was the first of the fundament forces to be unified. Both the Speed Force and the Emotional Spectrum have been associated with will and creativitity. And the Lantern corps use power batteries,evoking classic Electromagnetic induction.
Martian Manhunter is a random space cop. So i mean if you want to stretch you can leap from Manhunting to war and then back to Mars. Grant had him and Orion both die at the start of Final Crisis, bamed D.O.A. the God of War.
Hawkgirl has the whole egyotuan reincarnarional angle, even though egyptians didnt believe in reincarnation, but transmigration.