Well, I don't consider myself to be a theological liberal, although I find some others do, so take that as a starting disclaimer.
I believe in the sufficiency of Scripture; that it tells us everything we need to know for a saving relationship with God. I don't believe in the inerrancy of Scripture, nor has that traditionally been a position held in my church.
To me, inspiration means "God is speaking to us through this text." It doesn't mean "This text can be read accurately as a science or history textbook," or even "This text needs to be taken as literal instructions for us today." We need to approach Scriptural texts critically and with an awareness of genre etc. For example, just because I don't believe Jonah or Job were literal historical figures, but rather that those books are more akin to wisdom literature, doesn't mean the books with those names have nothing to teach us!