Bachmann's Ballet Pompadour is a quintessential example of refined salon music meant to evoke the elegance of the Rococo period. It relies on a flowing melody supported by a standard dance-inspired accompaniment.
Careful pedaling is required to maintain the clarity of the harmonic shifts between the melodic phrases.
Comparable difficulty and character — good candidates for what to learn next.
Ballet Pompadour (Op.16) is rated Henle level 5 of 9 — late intermediate repertoire, roughly ABRSM grades 6–7. In the RCM system it corresponds to about level 7.
You should be comfortable at Henle level 5 — meaning you can already play level 4–5 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 Ballet Pompadour (Op.16) lasts about 4 minutes.
Ballet Pompadour (Op.16) 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 Andante by Wolfgang Amadeus Mozart, Andante favori by Ludwig van Beethoven, Berceuse from Dolly suite by Gabriel Fauré — see the full similar-pieces list on this page.