Hmm... Hope you're not limiting it to Japanese only. Then you'd be missing out on some great ones.....
I'd like to recommend
Once upon a time in high school. A Korean movie with some bad-ass kick-ass fighting scenes, one really great romance and drama that will keep you satisfied if you give it a shot! This is delinquency at its best.
http://www.imdb.com/title/tt0390205/?ref_=fn_al_tt_1Another Korean delinquent movie you
should watch is
Gangster high:
http://www.imdb.com/title/tt0891562/?ref_=sr_1 This one might be somewhat brutal towards the end, but it got the message across and damn, this one was good!
As for Japanese delinquent movies, I'd recommend
Young thugs; Innocent blood;
http://www.imdb.com/title/tt0142458/?ref_=fn_al_tt_1 and it's sequel
Young thugs: Nostalgia:
http://www.imdb.com/title/tt0304296/?ref_=fn_al_tt_1There is also one that stuck on my mind for a really long time;
Aoi Haru;
http://www.imdb.com/title/tt0309291/?ref_=fn_al_tt_1And yet another recommendation would be:
Go ;
http://en.wikipedia.org/wiki/Go_%282001_film%29 (would link imdb but it doesn't have any summary to go by, but this is one awesome movie)
Ping Pong ;
http://www.imdb.com/title/tt0328258/ And yes, the first part of the movie might not be the case, but the second part of this movie is why I am putting this down here.
I also had some other movies that I JUST LOVED, but my mind seems to have reached a halt so I will get back with a second list once I am able to (somewhat) think.... ^.^ Hope these will keep you satisfied till then.
Edit: Yup, they all keep coming back to me...
More korean goodness (which, if you are against, I really think you should give a try since they are THAT good)
Chingoo:
http://www.imdb.com/title/tt0281718/?ref_=sr_1 Four friends remembering their old days in high school when they ruled.... Ah memories of beating up other people, can it get better? ^.^
And Japanese:
Doroppu:
http://www.rottentomatoes.com/m/drop_2009/ you want delinquent? You got it.. Based on the manga.
Swing girls:
http://www.imdb.com/title/tt0435434/ Just hope you don't mind that the delinquents are girls in this, because this one was great as well
The way to fight;
http://www.nipponcinema.com/t/e/the-way-to-fight Long time since I watched this one, but it does bring back memories
There you go, all I can think of at this moment. There were some more that I had watched but my memory isn't at its best shape at the moment so you'll have to forgive me ^.^ Hopefully someone else can fill in some more and you have enough movies to watch for a lifetime!
Also, this is not what you would call a high school delinquent movie, but it really had an impact on me so I will put it down here and let you decide for yourself; but it's about a former high school delinquent that ended up in prison and just got released and is trying to live a normal life, but his reputation precedes him and a lot of people are making it hard for him; and its Korean so you give this one a chance, you hear me?:
Sunflower http://www.imdb.com/title/tt0923714/?ref_=fn_al_tt_1