Here is the full list of all 10 Quiplash achievements worth 1,000 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox One.
You won all of your battles in Round 1 and 2
Got a quiplash.
Entered the same thing as your opponent
With both of your battles in a round
Successfully entered both your quips in a round
Play a game with 8 players
Get 70% or more of the votes in the Last Lash
Play a game with an audience
Write a quip that Schmitty actually responds to
Write "meatloaf candy" and win a battle with it