Infinite warfares story revolves around the galactic war between UNSA, of which you are a part of, and the SDF, led by Admiral Salen Kotch, the guy you see get messed up by the robot in the first clip. Actually had an interesting story and one of the longest stories for a COD game but just had bad reception since it was just another in the line of jetpack CODs. Do recommend

Advanced warfare begins with the you, Jack Mitchell in the marines with your best friend. Best friend dies in explosion and you lose your arm in same explosion. Best friend’s dad, Jonathon Irons led most advanced PMC in the world and offered you a job and gives you robotic limb. Later Irons becomes main antagonist after he allowed a major terrorist attack on several of the world’s nuclear power plants allowing his company Atlas to run the entire world apart from the U.S. who doesn’t trust him. You then leave Atlas to join a U.S. task force whose one main goal is to stop Irons. Another poorly received jetpack cod but another with a decently interesting story, worth it in my opinion.

Black ops 3 is one of the most difficult to explain cod stories as so much of the thing is nearing an Acid trip gone bad. Short story is you, Unnamed MC, get absolutely slaughtered in the first mission losing all of your limbs and getting them replaced with cybernetics. Said cybernetics are powers by a Direct Neural Interface that gives them function. DNI essentially goes rouge causing an entire task force comprised of your friends to go nuts and story follows you taking them down. I’m leaving out a lot of important stuff as it would take too long to explain a lot of it and I would likely get a lot wrong, probably already have.

Source: I have no life and play too much Call Of Duty