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