Can anyone suggest books that are comedies that do not involve cancer, rape, shooting, violence (some of these are the same), etc.?

Short Stories But True by Sabino Rosa

is wonderful and you can find it even likes e-book

The vast, overwhelming majority of comedies don't involve rape, cancer and shooting at all. What on earth have you been reading up till now?

Jasper Fforde's "The Eyre Affair" surreal and silly and funny. (No 1 in a series but it stands alone well, too...)

The William books by Richmael Crompton.

Bunicula is a good series I am not sure about the TV show since I was under impressed  by the five minutes I watched 

David Sedaris, "Me Talk Pretty One Day." It's a series of essays that can be read out of order, about growing up to be the person he is--a wryly witty smart guy.

The title essay is about his efforts to avoid the S sound that revealed his lisp.

"Mike" has admirably covered the authorial ground, and "Sir Caustic" has shown keen insight into your possible motivation....

However, would add some specific titles..."The Code of the Woosters," "Three Men in a Boat," "A Connecticut Yankee in King Arthur's Court" (more or less violence-free), "Cold Comfort Farm," "Cat's Cradle," "Half Girlfriend," "The Innocents Abroad," "The Hitchhiker's Guide to the Galaxy," "Live Right and Find Happiness," "In a Sunburned Country," "A Walk in the Woods," "The Cat Who Could Read Backwards," "The Importance of Being Earnest," "A Midsummer Night's Dream" (play), "Right Ho, Jeeves," "Northanger Abbey," and "Don Quixote."

Come on....... admit it. You're a porn hound. You love that kind of stuff. Stop trying to get us to believe you don't, you prevert.

P.G. Wodehouse, Stephen Leacock, Ring Lardner, Robert Benchley, James Thurber, H. Allen Smith, S.J. Perelman, Garrison Keillor, Dave Barry