Here is the full list of all 8 Amazon Video achievements worth 0 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
Added 10 Movies/TV shows to Watchlist
Watched 5 Drama titles
Watched 5 titles with 4.5 rating or higher
Watched 10 titles that are HD capable
Watched 5 Comedy titles
Watched 5 movies that came out in 2013
Watched 5 Action titles
Viewed Home Screen as a signed-in user