Felix Mendelssohn wrote songs for piano: Lieder Ohne Worte = Songs Without Words. The very first one of all the volumes (Op. 19 no. 1) is a perfect piece for practicing sound balance in the right hand, and the music is just fabulous.

You need this kind of sound balance/hand weight for playing these works

- Beethoven Moonlight Sonata mvt I

- Schubert Impromptu no. 3 in Gb major

- Chopin Funeral March

- Debussy Claire de lune (fast section)

- Ravel Pavane for a dead princess

...and countless more pieces.

So I can recommend this piece as a study to lay proper technique ground work within real and great musical context!

Video: https://youtu.be/VedGgsxgqTg