If it's platinums you're looking for, the games I recommend the least are the the last 3 games (MW3 2023, BO6, and BO7) as they do not have platinums. They are merely dlc packs for the cod hq thing.
If you're not looking for a zombies experience in your plat journey, I would not recommend any treyarch game (Black ops) nor would I recommend Infinite Warfare/WW2/Vanguard, although if you want to 100% I'd add advanced warfare and ghosts to that list.
If you want a purely campaign based platinum, I believe the first two Modern Warfare remasters (MWR and the MW2 remastered campaign) are probably you're best bet. The MW2019 platinum has a dlc achievement for spec ops, but is other completely campaign. I can't speak for MW2 (2022) as I haven't looked at that games achievement and do not know what it needs, although the last 3 games are essentially dlc for the game so you'd need to do the last 3 games to 100%.
I don't remember if ghosts has mp achievements or if it's purely campaign and AW has exo survival which is pve like zombies, but it's definitely not zombies. Dlc does add zombies and dlc for ghosts add extinction which is another unique pve mode.
Lastly, if you are looking for zombies in any way, I would definitely play a black ops game. Infinite Warfare has a MP achievement that I've heard is bugged and WW2 zombies is very much hit or miss. I would not recommend BO4 or BO Cold War as BO4 has blackout achievements and BOCW has fire team achievements, both requiring game modes that are too dead to use for achievements unless you boost with a group.
BO1 has a very minimal number of achievements to do in zombies that should take like an hour or two (excluding dlc, that will add a much larger amount of time) as long as you have someone to do 2 specific trophies with. MP should take 30 minutes. Rest is campaign.
BO2 requires you to prestige in MP which will take a little while, although it also requires winning combat training matches which are mostly dead, so it may be a little hit or miss finding a game of that. I'd also focus on party games (which getting top 3 counts as winning). BO2 asks a little more of you in terms of zombies and will require multiple people for the tranzit Easter egg. Rest is campaign.
BO3 has a few MP achievements, but I believe the game is alive enough to get them after playing for long enough. It has a few zombies achievements, may require someone (I don't remember), but you at least don't need to do an easter egg.
The rest of the Black Ops games either require a dead game mode or don't actually have a platinum.