There were many sports in the Elizabethan era like bear and bull bating, fencing, and hunting. I researched bear and bull bating. There were many sports like this that had animals fight until the death. In bear bating they tied the hind leg of a bear to a post and had dogs try to kill it, but sometimes they let the bear go. So, either the bear or the dogs died. Bull bating was very similar and more common in England since bears were more expensive. Most of their sports were like this, very bloody, but some were not. They had many regular games like similar versions of bowling, cricket, croquet, hockey, and  baseball.

http://www.elizabethan-era.org.uk/elizabethan-sports.htm