For each sport there is a best game and then also very nostalgic game as well. I will go through those, the first game I will mark as my favorite, second being a nostalgic great pick.
Basketball: NBA 2k11 / NBA Street Vol. 2
Baseball: MVP Baseball 2005 / MLB The Show 14
American Football: ESPN NFL 2k5 / Madden 2008 on the PS2
Football: Pro Evo Soccer 6 / Fifa 15
Boxing: Fight Night Round 3 / Fight Night Champion
Racing: MX v. ATV Unleashed / Nascar 2006 Tag Team Control
MMA: UFC Unidsputed 2009
Hockey: NHL 14 / NHL 94
Golf: Tiger Woods 2005 / Mario Golf
Basketball: NBA 2k11 / NBA Street Vol. 2
Baseball: MVP Baseball 2005 / MLB The Show 14
American Football: ESPN NFL 2k5 / Madden 2008 on the PS2
Football: Pro Evo Soccer 6 / Fifa 15
Boxing: Fight Night Round 3 / Fight Night Champion
Racing: MX v. ATV Unleashed / Nascar 2006 Tag Team Control
MMA: UFC Unidsputed 2009
Hockey: NHL 14 / NHL 94
Golf: Tiger Woods 2005 / Mario Golf