There is a place in SCA life for many of the animals we have in our lives, as well. See the separate sub-pages for horse, falcons, and dogs.
Medieval hunting and fishing encompasses falconry and hound coursing. In addition to this, there was also medieval fishing that may interest you.
In addition, there is an area of focus called aviculture, which covers companion birds. Those with interest in this topic can find the group online at this link -- http://www.facebook.com/groups/kwagsca/
Related interest groups --
Feastie Beasties: a place for SCAdians who are into raising their own livestock for food, feast, or just for fun
http://www.facebook.com/groups/314895998580678/
A collection of related links -- http://www.scatoday.net/links/weblink/206
A collection of related emails -- http://www.florilegium.org/files/ANIMALS/idxanimal.html