After completing Pimsleur, you will NOT understand everything that is said in anime. You will understand bits and pieces but you will still need subtitles. Pimsleur provides a pretty decent INTRODUCTION to Japanese but it really just scratches the surface. This is not a criticism of Pimsleur, which I enjoyed and think was worthwhile, but more of a comment on how much there is to learn. 90 lessons of 30 minute length is only 45 hours of learning and a lot of that is repetition to make sure it "sticks," so there's only so much you can learn in that amount of time.
Pimsleur's 90 lessons do not ever, for example, get into the plain verb forms but instead stick to the polite forms. When you watch anime or Jdoramas, most of the grammar you hear uses the plain form. Also, as in real life, people don't always speak in complete sentences in animes and doramas. Plus, there are lots of idiomatic expressions in Japanese (and in every language) that you just can't pick up in a 45 hour course.
I would highly recommend Pimsleur for what it is, but you should look at it as a introductory tool rather than something that is going to give you the degree of proficiency needed to understand anime.