I can see:
Duchess the Rottweiler (back row, second from right)
Bruno the Boxer (in front of the poodles)
Trusty the St. Bernard (just in front of Duchess)
Jessie the Bloodhound (far right next to the ginger cat)
Bella the Collie (laying down; she would have originally come in a set with puppies)
Chi Chi the Pekinese (next to Bella)
Beamish the English Setter (next to Chi Chi)
Pixie the Yorkshire Terrier (in a shoe)
Pepper the Dalmatian (the bigger Dalmatian; like Bella, she would have had puppies originally)
Winston the English Bulldog (front left)
The little Dalmatian with a collar and the dog with the red collar and one grey ear are from a 101 Dalmatians set; not sure if it was an official Disney set or just one of those many knock-off 'Dalmatian Families' sets that used to pop up in the mid 90s.
The three poodles all look familiar, I think I owned ones like them at some time. I think the white one might be an Early Learning Centre animal? If so, she probably has AAA stamped on her somewhere.
The sleeping ginger cat looks like a random china/ceramic cat. The white cat with its mouth open looks familiar, it might be from the In My Pocket Animal Hospital line, I remember some playsets with animals and bottles.
I don't recognise the others, but hopefully that helps.
Oh, one last thing. Puppy in my Pocket is one of those lines where the characters have different names in the UK and the US (why do you do this to us, toy companies??). I use the UK names because I grew up with them and can't remember the US ones
.