Off the top of my head:
1. Halo 5
-Best multiplayer of the gen, best gameplay in the franchise. Map design was my main gripe, none of them were exceptional to me. Weapon balance is by far the best in the series as well. Like always, feature set was top tier with so many options. Skill ranks. I repeat, skill ranks. Why do so few games have skill based ranking systems? Campaign wasn't great, but I weigh multiplayer a little higher in the shooter genre; more replayability, more fun playing against real people and truly testing my skill.
2. Titanfall 2
-Overall I liked the multiplayer more than the first. Yes, a few things like map design and Titan builds were different, but TF1 had very few progression options in comparison and just wasn't as tight of an experience to me. Oh, and the campaign was seriously legit and overlooked by many. Traversal set a standard in fast pace shooters, although it's almost too much in some ways, like not being grounded in physical reality made it less amazing. Gameplay was top notch.
3. DOOM 2016
-Didn't expect to like it as much as I did. I even liked the multiplayer a lot, even though it did a shit ton wrong. Campaign showed that more cinematic linear campaigns were not the end all be all (thank god).
4. Crysis 2
-Multiplayer had its issues, but it was seriously underrated. People thought that it was copying COD and was way less original than the first games multiplayer, but I found the original to be a tacked on experience that happened to work decently. Streamlined is not always bad. The game actually had some balance to it. The perk system was also actually really well implemented. Needless to say, graphics were amazing for its time, and I found the campaign to be quite good. Gameplay itself was top notch and speedy, in some ways I prefer the super jump to Titanfall's double jump/wall running. That in combo with armor and invisibility and you can feel like a god.
5. Onward (PCVR)
It doesn't have the features of a AAA game, but it showed me what VR could do back in 2016-2017. 1 to 1 physical weapon mechanics (reloading, ADS, etc.). Pavlov stole the show, but I personally don't think it compares in a lot of ways.
6. Apex Legends
-I'm not a BR fan, but I love playing this game with my friends. Not much more to say, it has Titanfall like gameplay and it's cool to frantically upgrade your shit.
I'd include COD games, but there's something about the annual aspect of it and the way the games all share some of the same shitty attributes that I won't include any on my list. There are probably a few others that I can't think of right now.