Here's a list of popular hymns from over the years. For as many as possible, added a youtube link so you can listen to them. Of course, there are other acceptable hymns that can be performed.
Gathering - Bridal Party
Ode To Joy https://www.youtube.com/watch?
Pachelbel's Canon http://www.youtube.com/watch?
Trumpet Voluntary http://www.youtube.com/watch?
Jesu, Joy of Man's Desiring https://www.youtube.com/watch?
Processional - Bride
Any of the above
Bridal Chorus https://www.youtube.com/watch?
Psalm:
Taste and See https://www.youtube.com/watch?
I Have Loved You https://www.youtube.com/watch?
The Lord is Kind and Merciful https://www.youtube.com/watch?
The Lord Is Compassionate https://www.youtube.com/watch?
Gospel Acclamation
Celtic Alleluia https://www.youtube.com/watch?
Chant Alleluia
Presentation of the gifts, Communion, candle lighting (if there is one)
*** If you expect a large crowd, you may want to choose 2 for communion ***
The Irish Wedding Song https://www.youtube.com/watch?
Lady of knock https://www.youtube.com/watch?
Hail Mary, Gentle Woman https://www.youtube.com/watch?
Here I Am, Lord https://www.youtube.com/watch?
Lord, When You Came https://www.youtube.com/watch?
How Beautiful https://www.youtube.com/watch?
Ave Maria (Schubert) https://www.youtube.com/watch?
Ave Maria (Gounod) https://www.youtube.com/watch?
Bread of life https://www.youtube.com/watch?
The Servant Song https://www.youtube.com/watch?
The Supper of The Lord https://www.youtube.com/watch?
There is Love https://youtu.be/aZbhrO4IEtI
Dedication To Mary and/or Communion meditation
Ave Maria (Schubert) https://www.youtube.com/watch?
Ave Maria (Gounod) https://www.youtube.com/watch?
Mary's Song https://www.youtube.com/watch?
Lady of knock https://www.youtube.com/watch?
Sing Of Mary https://www.youtube.com/watch?
Holy is His Name https://www.youtube.com/watch?
Recessional:
Wedding March https://www.youtube.com/watch?
Ode to Joy https://www.youtube.com/watch?