OK, my choices:

Genesis - Foundational, full of great stories, weird at times, and full of mystery.

1 and 2 Samuel - Such cracking storytelling.

Daniel - Unlike you, I'm a prophecy fiend. A third of the Bible is prophecy.

Ezekiel - See above. I put it to you there is more said about the End Times in the Bible than about Jesus's ministry and life on Earth.

John - My preferred gospel, despite John's tendency towards diva-ish melodramatics ("the disciple who Jesus loved", etc).

Revelation - Or, as I call it, the book of spoilers concerning how things wind up in the end.

Lots left out I've have preferred to keep, obviouly. I daresay I could have done without the extreme violence of Joshua and Judges (entertaining though it is), but the gospel of Matthew and the Book of Acts are a major loss. I'm leaving out most of the New Testament purely because I know it better than the rest of the Bible, but I'd still particularly miss Acts, James, Galatians, and Ephesians.