Chabeaux’s Barcarolle is a quintessential example of didactic late-Romantic music intended for home performance. Its writing is idiomatic and relies on standard broken-chord accompaniment typical of the genre.
Work on achieving a consistent and smooth melodic line that sings above the light accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Barcarolle (Op.15) is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 5.
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 Barcarolle (Op.15) lasts about 3 minutes.
Barcarolle (Op.15) 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 La fille aux cheveux de lin by Claude Debussy, Solace by Scott Joplin, Au Matin by Benjamin Godard — see the full similar-pieces list on this page.