Gabriel Fauré's Berceuse is one of his most beloved works, originally written for violin and piano but transcribed effectively for the keyboard. It is celebrated for its ethereal, rocking motion and delicate, shifting harmonic palette.
The performer must maintain a constant, steady 'rocking' left-hand ostinato while the right hand plays with expressive, vocal-like freedom.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse (Op.16) is rated Henle level 5 of 9 — late intermediate repertoire, roughly ABRSM grades 6–7. In the RCM system it corresponds to about level 8.
You should be comfortable at Henle level 5 — meaning you can already play level 4–5 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Berceuse (Op.16) lasts about 4 minutes.
Berceuse (Op.16) is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Berceuse from Dolly suite by Gabriel Fauré, Clair de lune by Claude Debussy, Berceuse - Cradle Song by Armas Järnefelt — see the full similar-pieces list on this page.