The Washington National Opera announced plans Friday to leave the Trump-Kennedy Center, one of several noteworthy departures since the Trump administration took charge of the institution.

The Washington National Opera announced Friday that it was parting ways with the Kennedy Center after 55 years at the once-venerated and now-controversial performing arts venue.

Under the center’s new business model, productions must be fully funded in advance — a requirement that opera companies argue is incompatible with how they typically operate, with much of their budget...