I play the usual set of standards that most jazz players draw from - great ballads like "Body and Soul", or "My One and Only Love".  Because the violin is usually associated with Hot Club in jazz, you don't often hear these tunes played on violin. I'll play medium swingers, such as "All the Things You Are", "Sweet Lorraine" or "Stella by Starlight". More "up" tunes might include "Have you met Miss Jones?, or post-bop classics like "Joyspring". I might do some Charlie Paker material, again unsual on violin.  You can add various blues, as well. The top 1000 standards can be found at JazzStandards.com

There always have to be some Latin tunes, maybe by A. C. Jobim, or even something more Cuban, like "Oye Como Va".  I played violin in a salsa band for a few year. The violin is more common in Cuba that you might expect.

Also, I like to add a few jazz originals that have become standards, like "A Night in Tunisia", "Recordame" or "Spain".

Then there are the tunes that not many other people play, "Joy" by Gerry Niewood, or Ralph Towner's "Icarus". Jarrett's "Memories of Tomorrow" and "Country". Kenny Wheeler's "Everbody's Song but my Own".

The list is always changing. Sometimes I am asked to play to a theme, such as tunes from particular countries to accompany regional dishes for a restaurant's themed night. You can see a fuller list here