Here is the full list of all 11 Link Twin achievements.
Complete all levels in Chapter V
Complete all levels with 3 stars in Chapter V
Complete all Link Twin levels
Complete all levels in Chapter IV
Complete all levels with 3 stars in Chapter IV
Complete all levels in Chapter III
Complete all levels with 3 stars in Chapter III
Complete all levels in Chapter II
Complete all levels with 3 stars in Chapter II
Complete all levels with 3 stars in Chapter I
Complete all levels in Chapter I