"Dream A Little Dream Of Me" - The Mamas & the Papas (can't beat Mama Cass with this version of the song imo)
"The Lady's In Love With You" - Alma Cogan
"You've Got A Friend In Me" - Randy Newman
(check out the instrumental version too, I love it!)
if you're looking for something less intimate here are some that I really enjoy foxtrotting to
"The Pink Panther Theme" - Henry Mancini
"Left Bank Two" - The Noveltones
"The Orb of Dreamers" - The Daniel Pemberton TV Orchestra (I like doing the rumba to this one too)
Best wishes on your day of bliss!
EDIT: just realized after replying that some of us are a couple years late. Enjoy the song suggestions =D