Influencing the villain Professor Elba and setting up the illusions of war for All-Star Comics #8 and #11, Brain Wave first attacked the JSA as "The Man Who Created Images" in All-Star Comics #15 (February-March 1943, by Gardner Fox and a team of artists including Joe Gallagher, Sheldon Moldoff, Stan Aschmeier, Jack Kirby, Ed Dobrotka, Bernard Baily and Howard Sherman), wherein they are saved by their girlfriends and Wonder Woman! Brain Wave returns in All-Star Comics #17 (June-July, 1943), with "Brain Wave Goes Berserk", using a device to shrink the JSA, and as they almost captured him, getting away in an explosion. Henry King returned one last time alone in the Golden Age, with All-Star Comics #30 (August-September, 1948) by getting them to have their minds tested, and subjecting the team to "The Dreams of Madness"!
Psycho Pirate went back in time to the 1940s to work with an earlier Ultra-Humanite (and his crew which included Deathbolt and Cyclotron), which helped form Infinity Inc. (all in All-Star Squadron #26 and Annual #2 of 1983, as some of Brain Wave's earlier 1940s actions came to light in All-Star Squadron #17, #19 and #20 published in 1983).
The Wizard even menaced the JSA members individually, casting a spell on Superman to remove his powers (which ended up allowing Clark Kent to marry Lois Lane), and kidnapping Larry Lance and Black Canary's daughter (who ended up becoming the second Black Canary).
Captain Cold, Gorilla Grodd, a new Star Sapphire, Matter Master, Felix Faust, Lex Luthor, Blockbuster, Reverse-Flash and the Floronic Man, and even running afoul of villains like Darkseid and the Crime Syndicate of America while fighting Captain Comet.
The Wizard dumped the Invisibility Cloak, Energy Prism and Power Gloves when he returned with the Crime Champions to work with the Earth-1 Johnny Thunder in Justice League of America #219 and #220 in October and November, 1983...
...then continued to work without them, testifying against the JSA in the third issue of America Vs. The Justice Society (March, 1985)..
...and he could have used them, as William Asmodeus Zard was easily defeated by Dr. Fate! Wizard was also one of the sorcerer's recruited to help save the Earth in Crisis on Infinite Earths #12 (March, 1986), but working with heroes was sort lived.
...popping up in Books of Magic #2 (1990) and Day of Judgment Secret Files #1 (November, 1999), but not having much success, returning again with the Secret Society of Super-Villains in JLA #115 to #119 (August to November, 2005) dealing with fallout from Identity Crisis of 2004 and leading to the break up of the JLA right before the Infinite Crisis of 2006.
All of which shows there are more members of the Injustice Society of the World to be covered...and check back as we'll get around to them at some point!