The only dual language Russian book I have found so far is Russian Stories. Unfortunately, the editor's choice of stories is very poor according to my Russian friends. After reading some of them, I have to agree. They are very negative and very weird. This comes from the opinions of four native Russians with whom I'm closely aquainted.
My Russian teacher suggests for novices such as myself, poetry by Puskin is the best to start with. I'm working on a list of good Russian short stories for beginners, much of which is available online for free. I hope to have some recomendations soon.
-blm