Playing with the great circle mapper for various Asian hubs to central Europe, the decision to avoid Ukraine was much easier for Cathay to make than for Singapore or Malaysian, since the Hong Kong to say Frankfurt circle does not even touch Ukraine.
If you want to avoid Syria, Ukraine and Iraq altogether, that means flying s-shaped paths for many city pairs. This is particularly true for Gulf based airlines.
Central Europe to NRT seems pretty safe. However, I can remember a FRA-NRT ANA flight taking a detour a few years ago because the North Koreans were testing missiles.