Here are some of my all-time favorite fanfics. They won't all appear in my favorites section because I use the list to keep up with what I'm currently reading.

May and His December by Oxymoronic8
For Sale by Owner by ninapolitan
Stranger Than Fiction by MasenVixen
The Ties That Bind by NicioleTwilight
Broken by WendyAnn
A Madman's Mercy by Amethyst Jackson
Sacrifices by Enthralled
Peonies by sillybella
Fever by sillybella
Vicissitudes by Twilightzoner
Dear Isabella by jandco
A Quiet Fire by Magnolia822

Stories that absolutely dazzled me:
The Blessing and the Curse by The Black Arrow
Master of the Universe by Snowqueens Icedragon
Ithaca is Gorges by giselle-lx
Angel in the Attic by closettwilighter1
Letters to You by mpg
Of Kith and Kin by Chicklette
Let Your Light Shine by LolaShoes
Abbracciare il Cantante by Bratty-Vamp
The Best Man by Bratty-Vamp