I will certainly admit that I don't listen to very many albums as a whole at this point, but I'll give it a go from what I do know. Also, I don't actually know what's popular outside of the mega popular like T-Swift and Drake these days. But I don't dig very far for my music, so I assume anything I listen to is at least somewhat mainstream. I'm also not sure what actually falls under "this generation". Here are the albums I like the most from when I was in middle/high school and college (~ 1999-2008), and then more recent than that. And I am going with what I like the most, I am in no way a well educated music fan, so these are just my taste. I like listening to music, but I don't know **** about it. There's nothing close to authority here
In no real order.
School years
Blink 182 - Enema of the State
Rage Against the Machine - The Battle of Los Angeles
Modest Mouse - Good News for People Who Love Bad News
The Killers - Hot Fuss
Eminem - The Marshal Mathers LP
Outkast - Stankonia
Matchbox Twenty - Exile on Mainstream
Recent - I know way less here
Childish Gambino - Camp
Chance the Rapper - Acid Rap (I think that's a mix tape, and I have no idea how that's different from an album
)
Donnie Trumpet and the Social Experiment - Surf
But like I said, I'm not a great person to do this because I very rarely actually listen to albums.
I assume things like Pinkerton and Smash are old enough to be a different generation than the current generation. Though that's probably where my whole first list fits better than being called modern.