The Seagull is widely considered one of Chekhov's "major plays"; the others are The Cherry Orchard, Uncle Vanya, The Three Sisters, and sometimes Ivanov, all of which provide an interesting counterpoint and context to The Seagull.
Perhaps the closest analogue in American theatrical tradition to Chekhov is twentieth-century playwright Arthur Miller. Consider his significant works, such as A View from the Bridge and Death of a Salesman.
Consider works by other major Russian authors of Chekhov's time, such as Aleksandr Pushkin, Leo Tolstoy, and Nikolai Gogol.