Archery: Kaichu! (it is not Olympic style archery though)
Badminton: Smash!
Basketball: Slam Dunk
Beach volleyball: Beach Stars
Boxing: Hajime no Ippo
Canoe / kayak: ?
Cycling: Yowamushi Pedal
Diving: ?
Equestrian: ?
Fencing: Attaque
Field hockey: Gokuraku Seishun Hockey Bu (My Heavenly Hockey Club)
Golf: King Golf
Gymnastics: Ganba! Fly High
Handball: Hands
Judo: Yawara!
Modern Pentathlon: ?
Rowing: Regatta
Rugby: All out!!
Sailing: ?
Shooting: Upotte!
Soccer: Inazuma Eleven
Swimming: Aoi Kiseki
Synchronized Swimming: ?
Table tennis: Ping Pong
Taekwando: ?
Tennis: Prince of Tennis
Track and field: ?
Triathlon: ?
Volleyball: Haikyu!
Water polo: Hantsu x Torasshu
Weight lifting: ?
Wrestling: ?