“Better” is subjective, but I’m personally partial to a cappella version. Like Peter Hollens or Pentatonix
This hymn is a regular in my devotional repertoire. From watching these videos again, it appears there are verses I’ve been missing 
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If you’re interested, there is a good movie about it. Amazing Grace. Came out in 2006. It’s also about the abolitionist campaign to ban the slave trade in the UK which was pushed forward through Parliament by William Wilberforce.