The Beresford Waltz is an illustrative example of amateur salon compositions from the late 19th century. It features idiomatic patterns commonly found in dance music of that era.
Attention to clean, brisk articulation in the accompaniment is necessary to keep the waltz feeling energetic.
Comparable difficulty and character — good candidates for what to learn next.
Beresford waltz 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 Beresford waltz lasts about 4 minutes.
Beresford waltz 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 The Entertainer by Scott Joplin, Bach-bwv-anh-114 by Johann Sebastian Bach, Bach-anh-114 by Johann Sebastian Bach — see the full similar-pieces list on this page.