Liszt wrote a set of Variations on this, as did (at greater length) Brahms. Rachmaninoff added an orchestra to his set and called it a Rhapsody.
For those who haven't heard the original...
(There's also a Heifitz one on YT which I'd have posted instead bar that it includes Bobby Schumann's rather lacklustre and totally pointless piano accompaniment.)
Apart from the obvious ones above, of late it seems to have also inspired others. The ones I have are:
Trgve Madsen - Variations on a Paganini Theme
(no vid available, apparently)
Robert Muczynski - Desperate Measures
Simon Proctor - Paganini Metamorphosis
No vid, but sound available here:
https://www.simonproctor.info/Samples.html
Sam Raphling - Variations on a Paganini Theme
(No vid or audio)
Alexander Rosenblatt - Variations on a Theme of Paganini
Fazil Say - Paganini Jazz
So... send me broke and point me at the rest of 'em.