This is a 19th-century set of showy variations on a popular polka tune by Charles Grobe. It demonstrates the era's fascination with virtuosic treatment of light dance themes.
The player must manage the increasing technical complexity across the variations, particularly the fast scale passages.
Comparable difficulty and character — good candidates for what to learn next.
Betty Polka, with variations (Op.147) 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 Betty Polka, with variations (Op.147) lasts about 5 minutes.
Betty Polka, with variations (Op.147) 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 Beautiful Star by Charles Grobe, Alexander's Ragtime Band by Irving Berlin, 'S Wonderful by George Gershwin — see the full similar-pieces list on this page.