I'll copy and paste what I said in the LPA version of this thread:
I want basically how the new album has been described so far.
More electronic elements. When Mike made that blog post that said Chicken Basket sounded a bit like The Postal Service, I was quite the happy camper.
I want dark music. This doesn't mean screamy and angsty, but a nice level of creepyness is always appreciated by me. Something creative and non-mainstream too. LP is not a pop band but their music is extremely radio-friendly and pretty formulaic. Intro, verse, chorus, verse, chorus, bridge around the 2 minute mark, chorus, end. They've had their success, now time to think outside the box.
More technical music would be cool too. And also, LYRICS. Not generic lyrics.
Luckily for me LP seems to be heading in the direction of most of this. I am so very excited.