Thomas S. Allen's Big Ben is a lighthearted, march-inspired piece that mimics the rhythmic chimes of the famous clock tower. It is a staple of early 20th-century American educational piano music.
Practice steady, crisp rhythmic placement in the bass to represent the clock striking.
Comparable difficulty and character — good candidates for what to learn next.
Big Ben is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 3.
You should be comfortable at Henle level 2 — meaning you can already play level 1–2 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 Big Ben lasts about 3 minutes.
Big Ben 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 Blumenwalzer by Léon Jessel, Bluin' the Blues by Henry Ragas, Bohemia by Joseph Francis Lamb — see the full similar-pieces list on this page.