Ulysses by James Joyce

(Famous) opening line:

Stately, plump Buck Mulligan came from the stairhead, bearing a bowl of lather on which a mirror and a razor lay crossed.

A Portrait of the Artist as a Young Man by James Joyce

(Famous) opening line:

Once upon a time and a very good time it was there was a moocow coming down along the road and this moocow that was coming down along the road met a nicens little boy named baby tuckoo.