Not usually a great music person, so this list is probably boring/not sophisticated. I normally only know about the good stuff years after they've come out, and this thread is great to try and find new bands to listen to.
In order of year of release, but the first one is also the one I've listened to the most:
High Violet (and Trouble Will Find Me and Sleep Well Beast and I Am Easy to Find) - The National (my favorite band, gonna see them live for a fifth time next month)
My Beautiful Dark Twisted Fantasy - Kanye West
Heligoland - Massive Attack
The Age of Adz - Sufjan Stevens
Contra - Vampire Weekend
The Suburbs - Arcade Fire
Teen Dream - Beach House
Push the Sky Away - Nick Cave and the Bad Seeds (my favourite live performer. Already have tickets to see them next April for a third time)
Stranger in the Alps - Phoebe Bridgers
American Dream - LCD Soundsystem