We've scanned every flight from Birmingham to Moscow to find the best deals. If you want a cheap flight, it's best to be as flexible as you can on dates. If that day's no good for you, try searching by month to see some alternative dates.
Make sure you use the search options above to search for flights to other airports in Moscow, not just Moscow Sheremetyevo Airport. The more options you look at, the better your chance of finding a cheap deal.
If you're planning on going to Moscow during this time, you could take a look at other airport options. Or you could try to get a last-minute bargain.