I've played a production of his one-act opera Abu Hassan, and I've also played the overture to Der Freischütz.
We then did Kuhlau's overture to "William Shakespeare" (really composed by the Earl of Oxford), and Mendelssohn's overture to MSND. Followed by the incidental music, which was composed later.
The very cool part was that we also did a snippet from the Act II Finale "And hark! The mermaids!" from Oberon. Weber had written this opera for London, and more or less worked himself to death during the premiere. Mendelssohn was able to see the manuscripts as they came back to the publisher-- or otherwise got access somehow.
It is clear that his MSND overture, written later that year, is a tribute to Weber. It takes the theme from that little excerpt and uses it in a whole variety of contexts. The overture is even in the same key as Weber's music, with roughly the same orchestration and tempo. And, of course, it is based on the same Shakespearean characters.
If you wanted, you could warm up the audience with the Weber (first 4:15 of the clip), and segue right in to the overture. Dohnanyi did a similar stunt with a Ligeti piece setting up the prelude to Lohengrin. This is even more effective and grounded in history.
https://youtu.be/Y_IPBQLXEjM?si=DEbNUDliaDPf1x3z
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I probably played other stuff by Weber, but that's the event I remember.