First up are two albums from Eels. More or less the outlet for Mark Everett with an ever rotating cast helping dude out.

Released in 1998 and written as a response to his sisters suicide and mothers fatal battle with lung cancer, shit's a little bleak. Album starts off with
Elizabeth On The Bathroom Floor, a song composed using one of his sisters final diary entries. Followed with
Going To Your Funeral and
Cancer For The Cure. Also of note is
Climbing To The Moon which is about visiting his sister in a psychiatric facility.
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This guy came out in 2000. Third album they did. Good shit
here and right
here. Oh and of course there is always
this one. Plus you can't forget
It's A Motherfucker.

Concept album from Cursive. Shit's about a couple (as evidenced by the cover I'd assume). Roughly patterned around Kasher's divorce.
The Casualty is a good one, as is
The Martyr.

Another concept album by Cursive. This one essentially being a Pinocchio story, only with love and empty sex.
Art Is Hard is a standout track as are
The Recluse and
Driftwood: A Fairy Tale.

What do you know, another concept album by Cursive. Well, loosely at least. This one revolves around a small town and deals with religion and hypocrisy. Album opens with
Opening The Hymnal/Babies (the latter half of which manages to have stuck that "baby baby baby" line in my head since I first heard it). That's followed by
Dorothy At Forty, which is then followed by
Big Bang. Those should give a fair indication as to the subject matter and sound.