Georges Jean Pfeiffer was a respected French composer associated with the Cercle de l'Union artistique. This piece is a refined example of the French Berceuse style, featuring sophisticated harmonic shifts.
Pay close attention to the harmonic inner voices that enrich the melody throughout the piece.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse (Op.53) 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.53) lasts about 4 minutes.
Berceuse (Op.53) 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 Boléro de concert by Georges Jean Pfeiffer, Bonne humeur by Cécile Chaminade, Amarante by Edouard Silas — see the full similar-pieces list on this page.