This work by Kalkbrenner showcases the mid-19th century preoccupation with variation form and ornamental showmanship. It requires a command of late-classical to early-romantic pianistic figuration.
The major technical hurdle is managing the rapid, varied textures across the different sections of the variations.
Comparable difficulty and character — good candidates for what to learn next.
Caprice et Variations (Op.3) is rated Henle level 5 of 9 — late intermediate repertoire, roughly ABRSM grades 6–7. In the RCM system it corresponds to about level 7.
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 Caprice et Variations (Op.3) lasts about 8 minutes.
Caprice et Variations (Op.3) 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 Caprice et Variations by Arthur Kalkbrenner, 'S Wonderful by George Gershwin, Bella Bocca by Emile Waldteufel — see the full similar-pieces list on this page.