Broadway Nights is a bright, optimistic character piece written in the tradition of early 20th-century show music. It is marked by a lively, syncopated rhythm that captures the excitement of the urban nightlife.
Work on the coordination between the displaced accents in the melody and the steady rhythmic foundation.
Comparable difficulty and character — good candidates for what to learn next.
Broadway Nights is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 3.
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 Nights lasts about 3 minutes.
Broadway Nights 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 Piano Sonata No. 16 in C major by Wolfgang Amadeus Mozart, Maple Leaf Rag by Scott Joplin, 'S Wonderful by George Gershwin — see the full similar-pieces list on this page.