Aligator Crawl is a quintessential example of Fats Waller's stride piano style. It is characterized by its infectious rhythmic drive and the virtuosic interplay between the syncopated right hand and the steady bass.
Mastering the steady left-hand 'stride' jump while maintaining a loose, swinging right hand is the primary challenge.
Comparable difficulty and character — good candidates for what to learn next.
Aligator Crawl is rated Henle level 5 of 9 — late intermediate repertoire, roughly ABRSM grades 6–7. In the RCM system it corresponds to about level 8.
You should be comfortable at Henle level 5 — meaning you can already play level 4–5 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 Aligator Crawl lasts about 3 minutes.
Aligator Crawl 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 Bach Up To Me by Fats Waller, Black and Blue by Fats Waller, 12 Variations on "Ah vous dirais-je, Maman" by Wolfgang Amadeus Mozart — see the full similar-pieces list on this page.