Samuel Labrecque's Cantabile is a contemporary miniature focused on sustained melody and atmospheric texture. It avoids virtuosic display in favor of introspective harmonic color.
The challenge is achieving consistent voicing in the primary melody against the background accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Cantabile, CCW48 is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5.
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.
Cantabile, CCW48 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 Black Shadow in the House by Samuel Labrecque, Black Shadow in the House, CCW2 by Samuel Labrecque, 001 Preview, CCW105 by Samuel Labrecque — see the full similar-pieces list on this page.