Here is the full list of all 8 Common Hanzi Quiz achievements.
Score 70% or more on All Hanzi Level
Score 100% on All Hanzi Level
Score 100% on 17-24 Strokes Level
Score 70% or more on 17-24 Strokes Level
Score 70% or more on 9-16 Strokes Level
Score 100% on 9-16 Strokes Level
Score 70% or more on 1-8 Strokes Level
Score 100% on 1-8 Strokes Level