Skyteam Alliance member Aeroflot has Russia on sale from $490 round trip New York JFK to Moscow SVO or St. Petersburg LED for departures from mid-November to mid-April. There is wide open availability nearly every date except for December and January holiday periods. Ticket prices are $570 from Washington IAD and $620 from Los Angeles or Miami. From Chicago you can fly Star Alliance airline LOT Polish to Moscow for $542 round trip and from New York JFK $492 on some dates.
Aeroflot Russian Airlines New York JFK – Moscow SVO nonstop
Aeroflot economy class N earns 25% to 100% miles depending on SkyTeam Alliance partner program.
Aeroflot Russian Airlines Los Angeles LAX – Moscow SVO – St. Petersburg LED – SVO – LAX
$619.80 round trip Sat Feb 11 – Sun Feb 19 (Orbitz ticket shown only due to better display than Aeroflot website).