Raoul Ordinaire’s Berceuse is an elegant composition typical of late Romantic French salon style. Its distinct character comes from the interplay between a poignant melody and a steady, rhythmic bass.
The main challenge is balancing the weight of the left-hand chords against the delicate right-hand phrasing.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse No.1 is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 5.
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 No.1 lasts about 3 minutes.
Berceuse No.1 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 Albumblatt by Václav Suk, An old miniature by William Baines, Berceuse by Arthur Norton Wight — see the full similar-pieces list on this page.