When Aeroflot ruled the Soviet Union they had some 14,000 aircraft on their books. The Timetable was absolutely massive - no computers, of course. The standard of pilots extremely high, the standard of maintenance comparitively low.
The accident rate was rather high, but largely went unreported due to various political and ideological reasons.
There was always a lack of interest and a great deal of apathy amongst Soviet workers and this seeped in to aviation. The result was of course a great threat to air safety. These days, post communism, the airlines must deliver results as they must in the west. This has erradicated many of the problems which jeopordised flight safety under the old system.
They probably have as many if not more airlines on the old USSR block of countries as they do in the US, but the difference is that the pilots are usually of extremely high calibre, and ATC somewhat further down the scale. Sorry Guys!