Ernst Lübeck brings a slightly more virtuosic harmonic palette to the berceuse format than his contemporaries. It is notable for the subtle chromaticism interwoven into the lullaby theme.
The piece requires careful management of the sostenuto pedal and tonal layering in the mid-range.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 7.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 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 lasts about 4 minutes.
Berceuse 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 by Ernst Lübeck, Berceuse by René de Boisdeffre, Berceuse no.7 by Felipe Brandes — see the full similar-pieces list on this page.