This work by the Norwegian composer Mon Schjelderup exhibits a characteristic Nordic melancholy within the cradlesong form. Its distinctive feature is the subtle use of modal coloring.
Focus on subtle phrasing and the ability to project the melody over a quiet, oscillating accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse (Op.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 (Op.1) lasts about 3 minutes.
Berceuse (Op.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 Berecuse by Mon Schjelderup, Für Elise by Ludwig van Beethoven, Aus Meiner Kindheit by Sergei Eduardovich Bortkiewicz — see the full similar-pieces list on this page.