marche45 said:
Basically the title,and yes that also excludes anime with high-school esque academy settings(like Infinite stratos.)
Way to go cut down possible recommendations, man! =P That's like... 90% of all anime ever... including the good ones!
All kidding aside (along with all previous mentioned recommendations):
Maoyū Maō Yūsha - a study of politics and economics in a mid-fantasy world (humans/daemons etc.), a little weird insomuch that none of the characters have names, only labels.
Gankutsuou - imagine what
the Count of Monte Cristo would've been like if Dumas had written it while taking LSD.
Zetsuen no Tempest - has a central cast of four highschool aged kids, but that's barely the point. Think Shakespeare's
Hamlet &
the Tempest mashed rather crudely together in anime form (with outright references as well).
Moyashimon (two seasons so far) - it's set at an agricultural uni, but it's quaint for anthropomorphising microorganisms and providing microbiology 101 lessons-lite.
Mari & Gali - following on from the above, maths & physics 101 in loads of 5min bite-sized eps with brilliant caricatures of famous figures from the history of science.
Last Exile - one of the best steampunk series I've seen, though the graphics have aged, uh... very... very badly.
Haibane Renmei - ... ... ... uh, yeah...
However, for a highschool series, I will recommend
Seitokai Yakuindomo and screw the caveat you've placed, because this series is so utterly inveterate and irreverent that it's perfect for anyone who hates the highschool trope.
Of other series recommended in previous comments, I'd definitely second
PsychoASS (society without crime, at what price),
GitS:SAC (no explanation required... probably) and
Jormungand (arms dealer with an unexpected agenda).