I got married this month and here is what I used. (Non traditional stuff)
We used a guitar/accoustic type theme to keep it consistent:
Bridesmaid processional - Joshua Radin, A Friend Like You
Song for the bride - Luluc, I Found You
Signing the fake certificate thing - Jose Gonzalez, Heartbeats (only played for 30 seconds)
Recessional - Hall n Oats, You Make My Dreams Come True
For our cocktail reception we used spanish guitar type stuff
First dance - Finley Quaye, Your Love Gets Sweeter Everyday (we slowed it down using some software so it was a lot slower and easier to dance to)
I honestly cannot remember what song my father and I danced to, he chose it and it was a surprise for me. I was just overwhelmed and slightly drunk at the time so I wasn't 100% focused but for some reason I think someone said it was from a cinderella movie. Not 100%
I'm not sure if we had a song for cake cutting. I'm going to go with no but it was quick it took like 20 seconds.
I can post our dancing playlist this weekend.
Music is such a personal thing though but anyway that's what we used!