Doggies:
PJ (We call him Peej)
Bailey

Kitties:
Pumpkin
Barclay

Piggies:
Herbert (Or Herbie the love pig)
Wilbur

Fishies:
Oscar
George
Strabo
Gracie
Snowflake
Sning
Spot
Bob
Flea
Tick

Bunnies:
Thelmer (I dare one of you to come up with a pet that has that name.