Stanislas Obniski was a Polish composer of the Romantic era who focused on salon music. This piece is a typical example of the genre, prioritizing an intimate and lullaby-like atmosphere.
Use deep, sustained pedaling to create a wash of sound without blurring the melodic lines.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse (Op.52) is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 4.
You should be comfortable at Henle level 3 — meaning you can already play level 2–3 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.52) lasts about 3 minutes.
Berceuse (Op.52) 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 'Adeste Fideles' with Variations by W.E. Tipper, 1st Sonatina by Kees Schoonenbeek, Beside Still Waters by Bernard Hamblen — see the full similar-pieces list on this page.