News at Eleven: Sir Robert Ayton, 1711

There are records of folk songs bearing similarities to Auld Lang Syne circulating as early as the 16th century, and Burns wasn't the only poet to try incorporating them into his own work:

Should auld acquaintance be forgot,
And never thought upon,
The flames of love extinguished,
And freely past and gone?
Is thy kind heart now grown so cold
In that loving breast of thine,
That thou canst never once reflect
On old-long-syne?

from The Scotsman: Robert Burns: Something Auld

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