We regularly import products from East Asia to US. There are around 20 medium size boxes every time (not heavy per box). Right now, we use FedEx International Priority. The shipping charge is very expensive, more than $1000.00 every time. We just want to switch the shipper to some other guys, perferring big guys with easy online tracking. I think DHL is possibly good. Who knows the DHL's rate? Do you have any other suggestions? Thanks.
East Asia is big. If you are talking about Japan, there are many options. If you are doing it for business and time is not a problem, then you would have to go with the cheaper option of UPS surface. Shipping is my biggest expense and I have done lots of research but still have no clear answers. I sell many different things.
If the boxes are not heavy, try the post office express services. They go by weight and you can save some.