Joseph Gungl, a contemporary of Strauss, wrote numerous marches and dances for the social ballrooms of Europe. This piece is characteristic of the period, requiring high-velocity finger work to convey its cheerful, parade-like energy.
The primary challenge is maintaining even, light articulation during the quick passages of the main theme.
Comparable difficulty and character — good candidates for what to learn next.
Broadway Quick Step 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 Broadway Quick Step lasts about 2.5 minutes.
Broadway Quick Step 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 Brünner-Polka by Joseph Gungl, Blau-Veilchen by Joseph Gungl, Alexander's Ragtime Band by Irving Berlin — see the full similar-pieces list on this page.