This work by Benjamin Godard is a classic example of late 19th-century salon music. It is distinguished by its rolling, syncopated accompaniment that mimics a rocking motion.
The main technical challenge is the independence required to keep the syncopated accompaniment light while bringing out the long-breathed melody.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse is rated Henle level 5 of 9 — late intermediate repertoire, roughly ABRSM grades 6–7. In the RCM system it corresponds to about level 7.
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 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 Au Matin by Benjamin Godard, Bohémienne by Benjamin Godard, Boléro Andalous by Benjamin Godard — see the full similar-pieces list on this page.