That would be Flawed Dogs: The Year-End Leftovers at the Piddleton "Last Chance" Dog Pound by Berkelley Breathed. It is probably the best dog book ever. It fancifully tells the story of every 'rescue' and how each got that way. Every ending will earn a smile and milk a tear. AND BEST, No dogs died in end.
The sign on the door of the Piddleton Last Chance Dog Pound, Piddleton, Vermont, Pop. 327 (People 243) reads:
So hurry lest you miss out.
It is whimsically drawn and told by Friends of the Piddleton Pound, Tammy Quackenbush, President (who is also President of the Piddleton Poetry Club, the Vermont Booster Broads, Vice president of Vegetarian Quilters against Land Mines and Bazookas and Treasurer of the Chicken Liberation Front.)
You'll read about flawed dogs Bipsie and Noodles, Tina and Lulu, Rollo and Titus, Jeeves and Pete, Pepe and Willie Wonker, Buttercup and Heather, iBoo and Ben, Sal and Barney, Spanks and my favorite, Sam the Lion. And here's the secret that's not so secret:
I promise you will fall in love with the story, the dogs, and especially the drawings. It is a richly told and illustrated tale of morality and kindness that applies to all creatures and touches humanity where there seems to be a need.
Ask for Flawed Dogs by Berkeley Breathed (published in 2003) at your bookstore or electronically here where you can thumb through a few pages to see what I mean. Its cover may also look like this... but I like my cover best.