Well, we do have the Sirloin. Which unless I am mistaken, is part fish? Or seal? I'm unsure. For seasonal animals to base this seasonal on you could probably google something around the lines of;
"Summer Solstice (Mythical) Animals"
This could refer to any animals who have a breeding period around the summer solstice? Or myths based around it.
This thread has also given me an idea. A lot of people are saying,
"We need another Christmas seasonal."
But there are a awful lot of Christian based seasonals. Maybe if Res were to release a Winter solstice creatu as well? And then they can be corresponding pets, you could also probably build alot of plotlines and such for seasonal events.