Bangor March by Thomas J. Armstrong is a quintessential example of 19th-century functional march music written for the piano. Its strength lies in its rhythmic vitality and strong, martial dynamic contrasts.
Emphasize the steady, strong rhythmic pulse necessary for a convincing march style.
Comparable difficulty and character — good candidates for what to learn next.
Bangor March is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 2.
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 Bangor March lasts about 2 minutes.
Bangor March 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 'World's Fair' Polka by Thomas J. Armstrong, Brazilian March by Thomas J. Armstrong, 'Shake Dat Hoof!' by Thomas J. Armstrong — see the full similar-pieces list on this page.