Hong Kong Phooey got a circa 25 USD complete series release on DVD last year.
Despite being voiced by Scatman Crothers, he is neither torn in half nor axed in the head during the series.
Precious Pupp (owned by Granny Go-Go) used to semi-talk as well.
On American Dragon:Jake Long, his one mentor takes the form of a talking dog.
Not a toon, but kiddy-oriented Power Rangers had Commander Anubis 'Doggy' Crueger of Sirius.
Dino once talked (Though whether the Snorkasaurus was THE Dino is another story), and still later on, he mouthed and throated some words, usually in panic.
'The Puppy's New Adventures' had all-talking dogs, but only to each other.
Hot Dog spoke mentally on 'Archie' cartoons.