At least 90% fresh at Rotten Tomatoes, listed by number of reviews, divided into non-documentaries (41):
Gravity
12 Years a Slave
Zero Dark Thirty
American Hustle
Captain Phillips
Inside Llewyn Davis
Dallas Buyers Club
Her
All Is Lost
Nebraska
Blue Jasmine
Fruitvale Station
Before Midnight
Philomena
Mud
Enough Said
Frances Ha
Blue Is The Warmest Color
The Spectacular Now
Short Term 12
The Past
The Sapphires
The Hunt
No
In a World...
The Great Beauty
Lore
A Hijacking
Wadjda
Blancanieves
Behind the Candelabra
Beyond The Hills
A Touch of Sin
The Selfish Giant
Gimme The Loot
Museum Hours
War Witch
Still Mine
Drug War
Our Children
Mother Of George
and documentaries (20):
The Act Of Killing
Stories We Tell
Room 237
Blackfish
20 Feet From Stardom
The Gatekeepers
Muscle Shoals
We Steal Secrets: The Story Of Wikileaks
Cutie And The Boxer
56 Up
Inequality For All
A Place at the Table
The Square
After Tiller
A Band Called Death
The Crash Reel
Caesar Must Die
Call Me Kuchu
Sound City
Let The Fire Burn
Rampant grade inflation in recent years forcing me to shift cutoff to 95% Fresh; here's the list, again sorted by number of reviews (a measure of obscurity), 24 in total:
Gravity
12 Years a Slave
Inside Llewyn Davis
Before Midnight
Mud
Enough Said
Short Term 12
The Act Of Killing
Stories We Tell
Blackfish
20 Feet From Stardom
A Hijacking
Wadjda
Behind the Candelabra
Muscle Shoals
Cutie And The Boxer
The Selfish Giant
56 Up
War Witch
The Square
The Crash Reel
Call Me Kuchu
Sound City
Let The Fire Burn