If you look at the Resources thread under “Bilingual Books and Parallel Texts” there are some options you might be interested in.
The Penguin one Saida mentions is there.
There’s also Read Real Japanese, which provides glosses and translation notes rather than a full translation, and you might particularly be interested in Breaking Into Japanese Literature, which has seven full short stories and a focus on classic Japanese Literature (though I think that one provides a full translation and breakdowns).
It might be a good way of gauging the difficulty level / seeing which authors you like.