Anton Eberl, a contemporary of Beethoven and student of Mozart, composed these variations on the famous Papageno-Papagena duet. The work displays more pianistic flair and virtuosity than the typical Mozartian variation set.
The performer must manage the wider span of the arpeggiated figures in the later variations.
Comparable difficulty and character — good candidates for what to learn next.
12 Variations on 'Bei Männern welche Liebe fühlen' from 'Die Zauberflöte' is rated Henle level 6 of 9 — advanced repertoire, roughly ABRSM grades 7–8. In the RCM system it corresponds to about level 8.
You should be comfortable at Henle level 6 — meaning you can already play level 5–6 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 12 Variations on 'Bei Männern welche Liebe fühlen' from 'Die Zauberflöte' lasts about 12 minutes.
12 Variations on 'Bei Männern welche Liebe fühlen' from 'Die Zauberflöte' 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 12 Variations on 'Bei Männern welche Liebe fühlen' from Mozart's 'Die Zauberflöte' by Anton Eberl, Caprice et rondeau by Anton Eberl, 11 Variations on 'Ascouta Jeannette' by Anton Eberl — see the full similar-pieces list on this page.