The comics were published by DC, which like Atari at the time were owned by Warner Bros. They started with the Mini Comics packed in with some of the Atari 2600 VCS games in 1982. These were followed by the Star Raiders Graphic Novel in 1983. Finally they launched an ongoing series in 1985.
The ongoing series of Atari Force is the one I am most familiar with. I started reading it with issue #4 when it came out. I stuck with it to its end but missed out on the follow up One Shot that came out in 1986.
The new Atari Force was made up of two kids of the original team. Tempest, son of Martin Champion and Lydia Perez and Dart, daughter of Mohandas Sing and Li-San O'Rourke. The rest of the team consisted of Hukka, Morphea, an empath who looked like a praying mantis, Babe, a large toddler they rescued from slavers, Pakrat, a rodent like thief, Blackjack, Dart's lover along with Taz and Kargg. They fought against a being know as the Dark Destroyer.
I enjoyed these comics when I was younger and are the only ones that I still have my originals of. I never parted with these and have added to the collection. I need only two of the Mini Comics and one issue of the Ongoing Series.
As of 2015 Dynamite Comics has the rights to the Atari properties and are reprinting the Atari Force Comics. So far they have a collection of the Mini Comics available. Hopefully they will soon have reprints of the Ongoing series.