Le petit duc is a lighthearted character piece written in the salon style of the late nineteenth century. It is distinguished by its graceful melodic contours and crisp, dance-like rhythmic character.
The primary challenge is maintaining a light, non-legato touch while keeping the rhythmic pulse steady.
Comparable difficulty and character — good candidates for what to learn next.
'Le petit duc' fantaisie gracieuse (Op.65) 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 'Le petit duc' fantaisie gracieuse (Op.65) lasts about 3 minutes.
'Le petit duc' fantaisie gracieuse (Op.65) 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 The Entertainer by Scott Joplin, Bach-bwv-anh-114 by Johann Sebastian Bach, Bach-anh-114 by Johann Sebastian Bach — see the full similar-pieces list on this page.