I take some solace in the great number of novels and stories that are justly famous for their first lines. Melville's "Call me Ishmael" is probably the best-known. There are hundreds of great ones. Some of these might include:
It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife. —Jane Austen, Pride and Prejudice
He was born with a gift of laughter and a sense that the world was mad. —Raphael Sabatini, Scaramouche
The year 1866 was signalized by a remarkable incident, a mysterious and inexplicable phenomenon, which doubtless no one has yet forgotten. Not to mention rumors which agitated the maritime population, and excited the public mind, even in the interior of continents, seafaring men were particularly excited. Merchants, common sailors, captains of vessels, skippers, both of Europe and America, naval officers of all countries, and the Governments of several states on the two continents, were deeply interested in the matter.
For some time past, vessels had been met by "an enormous thing," a long object, spindle-shaped, occasionally phosphorescent, and infinitely larger and more rapid in its movements than a whale. —Jules Verne, 20,000 Leagues Under the Sea
"When your mama was the geek, my dreamlets," Papa would say, "she made the nipping off of noggins such a crystal mystery that the hens themselves yearned toward her, waltzing around her, hypnotized with longing." —Katherine Dunn, Geek Love
"To be born again," sang Gibreel Farishta tumbling from the heavens, "first you have to die." —Salman Rushdie, The Satanic Verses
It was a pleasure to burn. —Ray Bradbury, Fahrenheit 451
No one would have believed in the last years of the nineteenth century that this world was being watched keenly and closely by intelligences greater than man's and yet as mortal as his own; that as men busied themselves about their various concerns they were scrutinised and studied, perhaps almost as narrowly as a man with a microscope might scrutinise the transient creatures that swarm and multiply in a drop of water.—HG Wells, The War of the Worlds
So what do you think was the best opening line or paragraph of something you have written?