hrm here's my quick opinion on the ones listed in the last two posts:
Kimi Ga, very well renowned, couldn't be considered obscure
Last Exile: Domestic release, enough said
Beck: never heard of it
Robotech: if you do this one, you must do Macross first, because robotech is greatly influenced by Macross and imo rips it off and gets all the credit
Air: another of those i've heard on the whispers of tongues but never researched myself
Record of Lodoss: i've heard it in the ether, i myself don't know much about it
and i'm adding more:
Da Capo
DN Angel
Kanon
don't forget the just released remake ^w^
it'd be worth your while to check out Boys Be too
check out my full list of animes and recommendations:
Anime etc List
please let me know if the link works/don't work