Cursory Google search for "ancient hobbies" and just looking at the descriptions without clicking every link reveals stuff like: Painting, Chess, Archery, Handicraft (I'm guessing stuff like knitting and cheap jewelry), Backgammon, Pottery, Hunting, Sports (like throwing balls and stuff), Chariot Races (I'm guessing horse racing and running as well), Swimming, Executions (fun times!), Gladiatorial Games (I'm guessing just watching them, but kids probably played with wooden swords and such), Snake Fighting (I'm guessing any type of animal fighting while placing bets), etc.