Already covered some of them last time, here's the rest of the bannered crossovers of the time.
FirestormFirestorm was, at this time, a hero with his own mind, coming from the merging of Ronnie Raymond and Mikhail Arkadin (Martin Stein was not known to be part of the matrix at this time). In Firestorm The Nuclear Man #80 (1988 by Robert Greenberger, Tom Grindberg and Sam DeLaRosa), Firestorm was recruited (along with his similarly nuclear powered friend, Firehawk) and Power Girl to battle Khunds (freeing Starman along the way), and the lot work to free America's first spaceman, Adam Strange (which happens in Starman #5). In Firestorm The Nuclear Man #81 (January, 1989, by John Ostrander, Tom Grindberg, Arne Starr and Sam DeLaRosa), Firestorm returns to his normal life, but ends up reforming in Russia to help hero group Soyuz (young Russian heroes with mutant powers) fight Stalnoivok (a villain of extreme strength, who has gone mad battling aliens).
Doom Patroloriginal members Robotman and the Chief, and newer members temperature controlling Celsius, Negative Woman (similar powers to Negative Man), energy blasting Tempest, magnetic Lodestone and fiery Scott Fischer work with alien foe of the Patrol, Garguax (who was not invited into the Alien Alliance) against the Gil'Dishpan, to save Atlantis (along with help from Aquaman, Aqualad and the Sea Devils) in Doom Patrol #17 (1988 by Paul Kupperberg, Graham Nolan and Timothy Dzon), with the team losing a new member. In Doom Patrol #18 (January, 1989, by Kupperberg, Nolan and Dzon), the team deals with the loss, as former Negative Man Larry Trainor is injured in a crash, and Negative Woman Valentina Volstok loses her powers, as the rest of the team gathers for the funeral for their fallen comrade (and leads into Invasion! #3, where another new member also perishes).
Batman and SpectreSpectre kept the supernatural members of the DCU (Madame Xanadu, Deadman, Demon, Dr. Fate, Phantom Stranger, Tala and Zatanna) out of the conflict (with one exception, as seen in Invasion! #2), in Spectre #23 (Holiday, 1988 by Doug Moench and Chris Wozniak).
Justice League InternationalClock King, and the not pictured Mighty Bruce) form to raid a Khund ship, with disastrous results (for the Injustice League), facing Guy Gardner (then, onto Invasion! #3, and meeting more heroes).
Martian Manhunter), into a new team with Elongated Man, Wonder Woman, Power Girl, Animal Man, Metamorpho and Flash (Wally West) (and Hawkman and Hawkwoman leaving).....with more on that to follow, and of these stories, only the Justice League Internationals have been collected so far (#22 in their 3rd TPB, and #23 and #24 in their 4th)!