So they’re not really indie, and only a little alternative, but the Fiance and I are both huge Coldplay fans. Our first dance will probably be “Yellow,” but “Till Kingdom Come” is a great song that Johnny Cash originally wrote, and it’s a hidden track on “X&Y.” Also check out “Green Eyes,” “One I Love,” “Lovers in Japan,” “Strawberry Swing.”
Seconded for acoustic versions of “Everlong” and “Such Great Heights,” two of my favorite songs.
As far as Weezer goes, it’s not a slow song, but “My Best Friend” off their “Make Believe” album is SO adorable. Lyrical sample: “you’re my best friend, and I love you, I love you, yes I do…”
A couple of Muse songs: “Invincible,” and “I Belong to You.”
Ingrid Michaelson’s “The Way I Am,” and my personal favorite “You and I.”
“Chasing Cars” and “Crack the Shutters” by Snow Patrol
“Question,” The Old 97s (my FI’s roommate actually played this one for us and it brought tears to my eyes because he’s such a not-sappy guy, but he knew it suited us so well)
“Stellar,” Incubus… they have a handful of other sweet ones, too.
We’re big fans of alternative music, so when I hear a sweet song, I definitely take note 🙂