Does the Japanese The Last Mission DVD have English subtitles? I want to see this movie and I don't want to torrent it, but I don't know where I can buy it  so that I will be able to understand it.

For instance if I buy the DVD listed on Amazon here will it come with English subtitles?
No.

The Japanese version has no subtitles embedded for English. The only way you could get around this is buy the movie, rip the image, mux in some subtitles, and then re-burn a "backup". This is no advocating doing so -- check your local law.