Justice League Europe 1989

The team accordingly to the cover of Justice League Europe #1 of 1989.

Top row: Captain Atom, Flash (Wally West), Elongated Man, Metamorpho
Bottom row: Wonder Woman, Animal Man, Power Girl, Rocket Red 4

Some notes:

Wonder Woman only appeared as a member in issue #1. She never re-joined the team later on.

Wally West had in the beginning the same costume design as the outfit of Barry Allen.

Justice League International 1988

The team accordingly to the Justice League International #19 of 1988.

top row: Martian Manhunter, Guy Gardner, Blue Beetle, Booster Gold, Captain Atom, Batman
bottom row: Rocket Red 4, Mister Miracle, Fire, Ice, Hawkwoman, Hawkman

Fire and Ice joined as Green Flame and Icemaiden in Justice League International #14 (1988)
Black Canary left in #19. 
Hawkwoman and Hawkman joined in this issue. They were reconned as being Fel Andar and Sharon Parker. 

Big Barda

Big Barda, the fearless warrior and former leader of the Female Furies

Big Barda first appeared in Mister Miracle #4 (1971).

It is difficult to assign a specific year or issue number to each layout, as there was inconsistency in her costume details — even from issue to issue within the same series she appeared in. I made several versions and tried to capture the major design changes, such as her skirt, helmet, and most notably the gorget (or collar) of her armor. Around 1990, in MISTER MIRACLE Vol. 2, this element transformed into something resembling alien braids. (I assume, that this was a misunderstanding, but one that has become entrenched over time.)

Legion of Substitute Heroes early 1980s

top row: Fire Lad, Polar Boy, Night Girl, Stone Boy, Chlorophyll Kid

bottom row: Color Kid, Double Header, Infectious Lass, Antennae Lad, Porcupine Pete

Legion of Supstitute Heroes 1970s

top row:
Polar Boy, Night Girl, Chlorophyll Kid

bottom row:
Stone Boy, Fire Lad, Color Kid

(The costumes were shown in various issues and not always coherent. So I could only define it by "1970s".)

Heroes Of Lallor

1960s: Evolvo Lad, Life Lass, Beast Boy, Gas Girl, Duplicate Boy.

1980s: Evolvo Lad, Life Lass, Gas Girl, Duplicate Boy.

The variants of Duplicate Boy appeared in Action Comics #381 (1969) and Superboy #219 (1976).
Life Lass' alternate costume was seen e. g. in the Who's Who Directory of 1986. 

Justice League International 1987

  The characters from the cover of JUSTICE LEAGUE INTERNATIONAL #7, when the series name changed from "Justice League" to "Justice League International".

top row: Martian Manhunter, Black Canary, Mister Miracle, Batman
bottom row: Guy Gardner, Booster Gold, Blue Beetle, Captain Atom, Rocket Red

Crime Syndicate (2013)

The Crime Syndicate, that appeared within the crossover story "Forever Evil" in 2013. First appearance in Justice League #23 (2013)

top row: Deathstorm, Owlman, Superwoman, Ultraman

bottom row: Sea King, Power Ring, Atomica, Johnny Quick, Grid
 plus a colour variant of Johnny Quick and Jessica Cruz, who became later on the new Power Ring.