Tove Lo - Queen of the Clouds
Taylor - 1998
Selena - For You
Ariana - My Everything
Sia - 1000 Forms of Fear
Lana - Ultraviolence
Charli - Sucker

Only 1989

I bought C2C for my monster friend for christmas gift

But I plan to buy some for me too in christmas
Maybe My Everything

Albums from 2014 I bought physically:
Tony Bennett & Lady Gaga - Cheek to Cheek Standard
Tony Bennett & Lady Gaga - Cheek to Cheek Target Edition
Tony Bennett & Lady Gaga - Cheek to Cheek Starbucks Edition
Kelis - Food
Bastille - All This Bad Blood
Lana Del Rey - Ultraviolence
Foster The People - Supermodel
Lights - Little Machines
Nicki Minaj - The Pinkprint
One Direction - FOUR
Tinashe - Aquarius
Taylor Swift - 1989

Non-2014 albums I remember buying physically:
Björk - Homogenic
Kanye West - The College Dropout
Kanye West - Graduation
Kanye West - My Beautiful Dark Twisted Fantasy
Kanye West - Yeezus
Kylie Minogue - Impossible Princess
Christina Aguilera - Stripped
Christina Aguilera - Back to Basics
Rihanna - Music of the Sun
Rihanna - A Girl Like Me
Sky Ferreira - Night Time, My Time

Louder - Lea Michele
Going To Hell (Deluxe) - The Pretty Reckless
Kiss Me Once (Deluxe) - Kylie Minogue
Shakira. (Deluxe) - Shakira
Pulses - Karmin
Meet The Vamps - The Vamps
The New Classic (Deluxe) - Iggy Azalea
Sheezus (Deluxe) - Lily Allen
Glorious (Deluxe) - Foxes
Sorry I'm Late - Cher Lloyd
A.K.A. (Deluxe) - Jennifer Lopez
5 Seconds Of Summer (Deluxe) - 5 Seconds Of Summer
Peroxide (Deluxe) - Nina Nesbitt
Pixie Lott - Pixie Lott
My Everything (Deluxe) - Ariana Grande
V (Deluxe) - Maroon 5
Gypsy Heart - Colbie Caillat
Kings Of Suburbia (Deluxe) - Tokio Hotel
Sweet Talker (Deluxe) - Jessie J
Chapter One (Deluxe) - Ella Henderson
Big Fat Lie (Deluxe) - Nicole Scherzinger
1989 (Deluxe) - Taylor Swift
Only Human (Deluxe) - Cheryl
Four (Deluxe) - One Direction
Never Been Better (Deluxe) - Olly Murs
BEYONCÉ (Platinum Edition) - Beyoncé
Reclassified - Iggy Azalea
For You - Selena Gomez
The Pinkprint (Deluxe) - Nicki Minaj
The Veronicas - The Veronicas
SUCKER - Charli XCX

Kiss Me Once
Shakira
The New Classic
The Secret
Me. I Am Mariah... The Elusive Chanteuse
Platinum
A.K.A.
Ultraviolence
1000 Forms of Fear
My Everything
Cheek to Cheek
Queen of the Clouds
Sweet Talker
1989
Four
Reclassified

Supporting the industry

LIGHT's Little Machines and 1989. Thats all.

Taylor Swift - 1989
Lorde - Pure Heroine
Tegan & Sara - Heartthrob
Sara Bareilles - The Blessed Unrest
Ingrid Michaelson - Lights Out
Sam Smith - In The Lonely Hour
Madonna - Ray of Light
Shakira - Shakira
Coldplay - Ghost Stories
You+Me - rose ave.

And once I get an iTunes card:
Miranda Lambert - Platinum
Nick Jonas - Nick Jonas

BEYONCE PLTINUM EDITION
Ultraviolence
The New Classic
My Everything

The Veronicas - The Veronicas
Phillip Phillips - Behind the Light
Taylor Swift - 1989 (Deluxe Edition)
Lana Del Rey - Born to Die - The Paradise Edition
Azealia Banks - Broke with Expensive Taste

2NE1 - Crush
Ariana Grande - My Everything
Tinashe - Aquarius

My Everything & 1989.

I wanted to grab this thread.

Anywoo:
I physically bought two albums this year:
Tinashe - 'Aquarius'
Lecrae - 'Anomaly'
I bought three more from other years:
Mary Mary - 'The Sound'
Beyoncé - 'BEYONCÉ'
Britney Spears - 'In The Zone'

It was a very weak year.

Ariana Grande - My Everything
Taylor Swift - 1989
One Direction - Four
Beyonce - Beyonce

Only "1989"

Extraordinary Machine by Fiona Apple
Ritual Union by Little Dragon
Hands by Superhuman Happiness
Radio Music Society by Esperanza Spalding
Illinois by Sufjan Stevens
Little Dragon by Little Dragon
Tawk Tomahawk by Hiatus Kaiyote
Lamentations by Ngaiire
Era Vulgaris by Queens of the Stone Age
The Age of Adz by Sufjan Stevens
Lighght by Kishi Bashi
151A by Kishi Bashi
Swing Lo Magellan by Dirty Projectors
Offering for Anxious by Diggs Duke
Jesse and Forever by Jesse and Forever [downloaded for free]
Gist Is by Adult Jazz
Gizmodgery by sElf
On Pleasure Island by Cirque Valentin
Fear Fun by Father John Misty

I regret the ones in DarkRed. Bolded albums were relased in 2014.

Updated