Okay, there’s Gaspode and Thcrapth (aka Scraps). There was that pack of dogs that gave Angua and Gaspode some trouble. There’s Angua (sometimes), her family, and she had that wolf (I think) former boyfriend.
There were 2 more dogs, one was the Patrician’s dog and one was the one who inherited the bank. I can’t remember which one was Mr. Wuffles and the name of the other.
Never mind.
Wuffles is Vetinari’s dog and Mr Fusspot is the heir to the bank.
See, wasn’t that easy?
Don’t forget Big Fido and the rest of the gang from Men At Arms.
That’s who OP meant by the ones that gave Angua and Gaspode trouble. Big Fido and, in fact, the Dog Guild.
Since you’re including werewolves, there are also Ludmilla Cake (Mrs. Cake’s daughter) and Lupine (reverse werewolf) from Reaper Man.
There’s also Thunder and Lightning, too.
How about the Barking Dogs from Interesting Times.
They definitely made an impression on Lord Hong.