Here is the full list of all 18 Shinobi's Way - there are a jigsaw chess tale achievements.
Complete the first act on chess mode
Complete the first act on classic mode
Complete the first act with rotation turned on
Complete the second act on chess mode
Complete the second act on classic mode
Complete the second act with rotation turned on
Complete the third act on classic mode
Complete the third act on chess mode
Complete the third act with rotation turned on
Complete the fourth act on classic mode
Complete the fourth act on chess mode
Complete the fourth act with rotation turned on
Complete the fifth act on classic mode
Complete the fifth act in the on chess mode
Complete the fifth act with rotation turned on
Complete the sixth act on classic mode
Complete the sixth act on chess mode
Complete the sixth act with rotation turned on