Ignaz Brüll provides a quintessential late-Romantic lullaby that focuses on tonal beauty and melodic contour. The piece is highly pianistic, utilizing the full range of the keyboard to create a shimmering, lullaby effect.
Achieving an even, pearly tone in the arpeggiated figures is necessary for the intended atmospheric effect.
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 Ballade by Ignaz Brüll, Bonne humeur by Cécile Chaminade, Berceuse by Sigismond Thalberg — see the full similar-pieces list on this page.