Baseball
There has been lots of speculation about the origins of Baseball. Claims of invention in the USA, especially by Abner Doubleday in Cooperstown, seem fiction. Most likely baseball developed in the 17th/18th century in the USA based on European influences: mainly English 'stoolball' and 'cricket'. In the 2nd half of the 19th century baseball grew into a professional sport in the USA, which ultimately formed the American and National Leagues, who still form Major League Baseball today. Besides the USA (in which it's more than sport, it's called the 'national pastime'), the team sport is also very popular in the Americas and East Asia. The International Baseball Federation was founded in 1938.

Men: MLB (Major League Baseball)
Men: Defunct Major Leagues: AA (American Association) AL (American League) FL (Federal League) NA (National Association) NL (National League) PL (Player's League) UA (Union Association)

Men: World Baseball Classic

Men: Olympic Games

World Cup: Men Women

Men: Intercontinental Cup

Men: European Championship

Men: Pan American Games

Men: Asian Games

Men: Minor Leagues:
AAA: IL (International League) PCL (Pacific Coast League) Defunct League: AA (American Association)
AA: EL (Eastern League) SL (Southern League) TL (Texas League)
A: CalL (California League) CarL (Carolina League) FSL (Florida State League) MWL (Midwest League) NYPL (New York-Penn League) NWL (Northwest League) SAL (South Atlantic League)
Independent: AA (American Association) AtL (Atlantic League) CAL (Canadian American League) CBL (Continental Baseball League) FL (Frontier League) GBL (Golden Baseball League) NL (Northern League) ULB (United League Baseball)
Defunct League: SCL (South Coast League)

Men: International Club Competitions:
Serie del Caribe Asia Series European Cup
Defunct Event: European Cup Winners Cup CEB Cup European Super Cup

Men: National Championships:
Austria Belgium Brazil China Colombia Costa Rica Croatia Cuba Czechia Dominican Rep. Finland France Germany Great Britain Italy Japan Mexico Mexico Pacific Netherlands Nicaragua Panama Puerto Rico Russia Serbia Slovenia South Korea Spain Sweden Switzerland Taiwan Venezuela
Defunct: Czechoslovakia Denmark Serbia & Montenegro Soviet Union Yugoslavia

Men: College Baseball:
NCAA: Division I Division II Division III NAIA

Men: World University Championships

Youth:
Men: World Junior Championships

Defunct Events:
Men: World Games
Men: Universiade
Women: World Series