The title really says it all. The basset hound is almost always there in Oshii's signature long musical interludes (Ghost in the Shell I & II, Patlabor II ... etc). Does the basset hound have a special meaning to Oshii?
In a "Japanorama" interview with Jonathan Ross he mentions that he thinks that he's a reincarnated basset hound. He's got an affinity for that particular breed of dog so he uses it a lot in his movies.