The following are some of the hymns frequently chosen for weddings from Church Hymnary Version 4:

63 – All people that on earth do dwell (Psalm 100)
115 – Love is the touch of intangible joy
124 – Praise to the Lord
127 – O worship the King
132 – Immortal, invisible, God only wise
147 – All creatures of our God and King
153 – Great is thy faithfulness
159 – Lord, for the years
160 – Praise, my soul, the King of heaven
166 – Lord of all hopefulness
167 – Guide me, O thou great Jehovah
181 – For the beauty of the earth
182 – Now thank we all our God
189 – Be still, for the presence of the Lord
200 – Christ is made the sure foundation
212 – Morning has broken
462 – The King of love my shepherd is
519 – Love Divine, all loves excelling
528 – Make me a channel of your peace
555 – Amazing grace
562 – Through the love of God our Saviour
598 – Come Holy Ghost, our hearts inspire
696 – We come, dear Lord, to celebrate the love our friends have found
697 – Let’s praise the Creator who gave us each other
698 – The grace of life is theirs who on this wedding day
699 – God beyond glory, gracious and holy
700 – As man and woman we were made
715 – Behold! The mountain of the Lord

Also popular but not in the hymnbook:

Be our Chief Guest, Lord (Tune of ‘Morning has Broken’)