The pastimes in ancient Rome were almost the same as our pastimes of today, except the Romans did not have our electronics. Here are some similarities:
Romans--chariot racing
Moderns--harness racing; horse racing; auto racing; any type of racing
Romans--gladiatorial combats
Moderns --boxing; "extreme" sports
Romans--various ball games
Moderns--various ball games
Romans -- dice games
Moderns-- gambling casinos