Imo the best (in terms of the analysis we're are all making here) is easily WaW. No shit at all about muh evil gommunists, like other anons have pointed out already itt all the carnage and revengeful spirit of the russians is protrayed after showing how the germans had been just as ruthless and savage to them. Also love how in that game you can always find little details you can miss if you don't pay attention, shit like random russians executing germans, or how in the first soviet mission when you are trying to snipe that general if you attempt to help your soldiers fighting while you're in the building that gives away your position and the general starts escaping earlier as opposed if you let them die. Little decisions like that, like blowing off someone's legs and them writhering in pain in the floor and you can choose to put them out of their misery or let them suffer. Overall probably the CoD which protrays warfare the most realistically, with the better graphics and the addition of gore which the earlier cods didn't have but none of the scripted shit or the evil antagonists of the latter cods.
The worst cods in terms of propaganda shit are imo either the first black ops (which is a shame cause I love that game), ghosts or the newest modern warfare. Ghosts cause they literally create the most retarded and painfully ironic scenario of all Latin American nations (or some shit similar to that, I can't remember) uniting to attack the US, Modern Warfare cause they literally had to create a ficticious middle eastern country and
a ficticious russian invasion of said middle eastern country (ironic as fuck) to write their story about le brave americans helping the rebels oppressed by Russia. And Black Ops for being just super anti-communist in general (muh evil soviets wanted to gas america!!!1) and all that shit about Reznov being betrayed by his communism and his comrades. Imo this one is the one that hurts the most to me cause overall that game is fantastic, it feels like the perfect balance between a game and a cinematographic experience, there's lot of amazing foreshadowing and details (like how when you first meet JFK and Mason starts going insane you can see footage of JFK's funeral on the TVs in the background) but other than that it's a shame how the rest of the game is for its propaganda purposes.