The Justice League that you are concerned with are all fun stories written during a dark and moody time in comics. I am a huge fan of these and have almost all of them. After Breakdowns, a huge 15 part epic that set up for the writers coming on the Justice League Europe and America teams, the Europe stories were not quite as good but again I have them because I'm a completeist. JL Quarterly was like the Unlimited titles Marvel sold where it had self contained stories by the likes of Mark Waid umongst others and JL Task Force was a covert ops group with variable members up until Zero Hour where they became a training ground for younger JL members(Ray,Triumph,Gypsy...). G Gordon Godfrey was a henchman for Darkseid who was trying to mentally defeat the heroes ala Job from the bible, and Legends is a really good read so if nothing else pick that up it's only six issues. Oh yeah Extreme Justice was a title started in 94 meant to be an Image comics inspired take on the Justice league led by Captain Atom, and i liked it but mainly because I like Captain Atom. Unfortunately some of the plot points towards the end where left dangling, like Max Lord being a robot, and eventually ignored by current DC editors because they said no one read them but I did and so I was angry to say the least about that comment. You can usually find huge lots of these runs on Ebay for real cheap like once upon a time with quarter bins, oh how i long for those days. Oh yeah the rocket red thing, they were Russia's answer to superheroes and there was a group of them only known by numbers the Jl had to accept one to get UN funding and he turned out to be a traitor and they replaced him with the other. Here is the breakdown, no pun intended, of the titles Justice League 1-6, Justice League International 7-25, Justice league America 0,26-113, Justice League Europe 1-50, Justice League International 51-68, Justice League Task Force 1-16(covert ops style),0,17-37 (training) and Extreme Justice 0-18, and Justice League Quarterly ran concurrent with these titles 1-17. These comics were great and they had some of the most insanely funny things ever like the Batman vs Guy Guardner one punch fight, the entire Justice League Europe in a french class, give them a try it can't hurt except maybe your sides and funny bone. My name is Lewis and I happened upon this several year old blog and thought I would argue for one of my all time favorite set of series and I hope you read this and check out some or all of it and what i've said helps and makes sense I'll check back later
Justice League I E A etc