As an older person who isn't into anime I have nevertheless watched all of Watanabe's works and find this one to be my absolute favourite. Don't be put off by the fact that Cowboy Beebop or Samurai Champloo are more popular and highly rated than Kids on the Slope. This has probably got more to do with the fact that you are more likely to appreciate Kids on the slope if you have a passion for music and know how it can bring people together. It also helps if there is some distance between your school days and now, as older people have a much warmer place for that period in their life and know to place a higher value on it.
This show works wonderfully well as a 4 hour movie and manages to capture the naivety, innocence and passion of youth in all it's charming glory. Personally, having changed schools and countries throughout my childhood, as well as loving music, and having experienced the way music always made new friends for me, some which still last to this day, I can say that this series is overwhelmingly powerful and true in every sense. To laugh and cry with a smile on your face and remember the first time you heard Bill Evans, Miles Davis, or the rhythm section on Coltrane's My Favourite Things and be shocked by beauty once again.
If any of this sounds familiar to you, buy it, watch it. And then watch it again every year or so.