Block your opponent's attack at the last instant.
Knock your opponent out of their attack.
Projectile attacks score fairly well when they connect.
Finish your opponent with a super special (the attacks that drain your power meter).

Ryu vs. Ryo: They jump away from each other.
Kyo vs. Iori: Their flames appear and they talk for a few seconds.
Sakura vs. Yuri: Sakura is startled by Yuri and...apologizes?.
Benimaru vs. any girl: He blows the girl a kiss.
Rugal vs. Vice: Another girl is next to Vice.
Geese vs. Bison: Geese uses a Double Wind Slash on Bison.
Bison vs. Iori: Iori uses a Dark Thrust on Bison but misses.
Bison vs. Rugal: Rugal's panther growls at Bison.
Ryu vs. Ken: They hit their fists together.
Ken vs. Terry: Ken tosses Terry his hat.
Ryu vs. Kyo: Kyo shoots fire at Ryu to get his attention.
Chun Li vs. Mai: Mai is dressed as Chun Li.
Geese vs. Terry: Geese taunts Terry.
Terry vs. Yamazaki: Terry smashes a knife Yamazaki throws to him, then they flex their muscles.
Zangief vs. Raiden: They are in a hold, then they jump back,