Just saw this at lunch today: Grand Cafe, the casual restaurant at the Omni Hotel downtown (251 South Olive Street, 213-356-4155) is hosting "Bow Wow Brunch" every third Sunday, May through September, 10 AM to 3 PM. (Patio dining only for da pups.) Special doggy treats provided.
I have never been to brunch there, but have eaten breakfast / lunch there many times. Nice selection of sandwiches and salads at lunch, nothing earthshaking, but decent quality/ fresh ingredients at a reasonable price. Above par for a hotel "casual" dining experience.
This is common in Venice as well (almost as many dogs as people in this part of town as far back as I can recall; thus, Dogtown), and the majority of dog owners have become far more responsible about dog-related issues, if you know what I mean (grooming, litter, socialization). In the past 10 years that Abbot Kinney has evolved and more eateries have opened, the only negative experience I've had with dogs on this street is the occasional litter. This obviously can't be helped as there are almost no places along this street where a dog can duck out and do his business. Dogs are an integral part of the culture in the hood. The reality is, regardless of any ordinance, one has no business being around Venice if dogs are an issue.
Another few places on or around Abbot Kinney where dogs hang out with their owners:
Abbot's Habit Coffee House
Huntington Beach's (I know, it's OC) Central Park has a cafe that has a "people" menu, and a "doggie" menu. I think the name is Alice's, and it's mostly outdoor seating, and many folks there are with dogs not only because the cafe is dog-friendly, the park has an off-leash dog park as well. And if you continue west on (I think it's) Golden West, there's an off-leash dog beach as well. Not exactly high dining, but a decent place to chill out with your pups after you've all been out together tossin' frisbees...
santa monica is highly dog friendly, esp places on montana, like
and i'm blanking of the name of the italian place near 7th st
plus there's the wagging tail, which is a great specialty shop for the puppers with edibles and well as wearables.
also in Santa Monica
il forno caffe on ocean park http://www.ilfornocaffe.com
Susina (even has biscuits
In Beverly Hills
A Cow Jumped over the Moon
in the Marina/Culver City
c & o trattoria
French Market Cafe
3 square bakery
if in the valley, aroma in studio city
the hotel (used to be the loews but it changed names so i forget what it is now...) at beverly dr and pico takes dogs and this is where my father always stays with his pup when in town. they treat them very well, with biscuits on pillows at night.