Auld Lang Syne by Dougie MacLean is best known to be played during New Years day. Based on an older Scottish folk song, this song has been popularized all over several English speaking countries. The first use of this melody can be found as far back as the 1700s.
Source: Wikipedia
Should auld acquaintance be forgot
And never brought to mind?
Should auld acquaintance be forgot
And days of auld lang syne?
For auld lang syne, my dear
For auld lang syne
We'll tak' a cup o' kindness yet
For days of auld lang syne
We twa hae run aboot the braes
And pull'd the gowans fine
But we've wandered mony a weary foot
Since days of auld lang syne
And we twa hae paid'l'd in the burn
Frae morning sun till dine
But seas between us braid hae roared
Since days of auld lang syne
For auld lang syne, my dear
For auld lang syne
We'll tak' a cup o' kindness yet
For days of auld lang syne
And surely you'll be your pint stoop
And surely I'll bee mine;
And we'll tak' a cup o' kindness yet
For auld lang syne
And ther's a hand, my trusty fier'
And gie's a hand though thine;
And we'll tak' a right good willy-waught
For auld lang syne
For auld lang syne, my dear
For auld lang syne
We'll tak' a cup o' kindness yet
For auld lang syne
For auld lang syne, my dear
For auld lang syne
We'll tak' a cup o' kindness yet
For auld lang syne