Bénoni Lagye's 'Alice' is a characteristic example of the sentimental salon music of the late 19th century. It relies on a simple, expressive melody and conventional harmonic progressions.
The student must manage the sustain pedal carefully to maintain clarity in the harmonic shifts.
Comparable difficulty and character — good candidates for what to learn next.
Alice (Op.38) is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 5.
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 Alice (Op.38) lasts about 3 minutes.
Alice (Op.38) 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 Blumenstück Op.19 by Robert Schumann, Cantico di San Francesco by Franz Liszt, 10 Variations on 'Zu Steffen sprach im Traume' by Wolfgang Amadeus Mozart — see the full similar-pieces list on this page.