Similar to Piano Concertos Nos. 1-4, these are arrangements of other composers' piano sonatas. The original works for these concertos are the second, third, and fourth sonatas from Johann Christian Bach (1735-82)'s Six Piano Sonatas, Op. 5.

Johann Christian Bach was the youngest son of J. S. Bach and is known as the 'London Bach' due to the city where he ultimately flourished. Having studied extensively in Milan, his music is characterized by an elegant, bright, and gallant Italianate style, and is believed to have profoundly influenced Mozart. Mozart became acquainted with him during his stay in London from 1764 to the following year, when Mozart was eight years old.

These three piano concertos (K. 107) feature a simple scoring of solo piano (or harpsichord), two violin parts, and bass, largely retaining the atmosphere of the original works without significant alteration. The second concerto consists of a pleasant first movement with a flowing theme, and a second movement (theme and four variations) where the solo piano and strings create depth through variations. No cadenzas by Mozart himself have survived.