New Pornographers "Twin Cinema" and the Decemberists "Picaresque" were both great 3rd indie albums from the 2000s.So if we are going Indie 3rd albums from the 00's, the likeliest list of albums is:
Grizzly Bear - Veckatimest
The Antlers - Hospice
Sufjan Stevens - Michigan
Modest Mouse - The Moon and Antarctica
The New Pornographers - Twin Cinema
Broken Social Scene - Broken Social Scene
The Wrens - The Meadowlands (this is my hope)
The Hold Steady - Boys and Girls in America
Yeah Yeah Yeahs - It's Blitz
I'm not including 2010 in the list and of course there are a lot of other indie bands with 3rd albums, but none that strike me as "Essentials" unless I'm clearly missing something big.