The poodle and the Airedale terrier were immediately recognisable but not the bulldog.
I had some trouble with the next set too.
The Pointer (top left) and the Boxer (btm right) were easy enough. I've seen several Salukis which are also known as Italian Greyhounds (top middle) and this matches up with the English Greyhound (btm left). Knowing that San Marino is a republic in Central Italy helped with the 3 lire stamp.
My pocket sized dog book tells me that Maremma is a region by the Tyrrhenian Sea and that there is a breed called Maremaner Herder dogs. The picture in the book can only be the same type of dog as on the 3 lire stamp (top right) where it is identified as Pasture Maremmano. So I'll settle for describing it as a large sheep dog.
As you could post whatever you wished this week you should check out others' choices at Viridian's Sunday Stamps-62