Richard Flury was a Swiss composer whose piano works often reflect folk-dance sensibilities. The piece is a stylized Ländler, a traditional Austrian folk dance in triple time.
Maintain a steady, rhythmic pulse characteristic of the Ländler while balancing the articulated melody.
Comparable difficulty and character — good candidates for what to learn next.
Buccheggberger-Landler 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 Buccheggberger-Landler lasts about 2 minutes.
Buccheggberger-Landler 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 Bucheggberger-Ländler by Richard Flury, The Entertainer by Scott Joplin, Bach-anh-114 by Johann Sebastian Bach — see the full similar-pieces list on this page.