Félix Renard’s Berceuse is a classic example of French salon music, highly idiomatic for the piano. It is recognized for its graceful, rolling accompaniment and long, arching melodic phrases.
Focus on the legato connections in the melody to avoid breaking the ethereal, lullaby-like atmosphere.
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 6.
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 Berceuse No. 2 by Félix Renard, Andante by Wolfgang Amadeus Mozart, Blau Veilchen by Richard Eilenberg — see the full similar-pieces list on this page.