On the day I was born, the First of July, 1938, The only other event of note that I have found that occured was that in the 58th Wimbledon Mens Tennis Championship, Don Budge of the USA beat "Bunny" Austin of Great Britain; 6-1, 6-0, 6-3.
Fred Perry of Great Briton won in three consecutive years; 1934–1936. He didn't compete at Wimbledon again, but won the US Pro Championship in 1938—also 1941.
Note: No Briton has ever won the Wimbledon Men's Championship since Perry's 1936 win!

Other things that occured in the year I was born:

Mexico nationalized its petroleum industry under the administration of President Lazaro Cardenas: "The petroleum belongs to the Mexican people."

The ballpoint pen was patented by the Hungarian brothers "Biro"; It was later to be perfected by Franz Seech so that it could write on any surface.

Teflon was discovered by a DuPont chemist.

Glenn Miller makes his first tour ever with his band.

Fiberglass was discovered; It was later perfected so that it could be spun or woven into fabrics.

The Round-The-World record is broken by Howard Hughes who sets it in 3 days, 19 hours, 14 minutes and 28 seconds.

Germany's Volkswagen is created, the idea of the "Beetle" is introduced. It is not until 1949 that it is introduced to America, when only two are sold in the first year.

Japanese armed forces continue their invasion in China.

The first Xerox image is done in Astoria, by Chester Carlson.

Tuna fishing begins in the US; The first tuna cannery is opened in Oregon under the brand name of Bumble Bee.

The first nuclear fission of uranium is conducted by Otto Hahn.

"Superman" is first introduced into comics by Jerry Siegel and Joseph Shuster in Cleveland, who begin earning $15 a month.

The Samba and the Conga appear for the first time on US dance floors.

The New York Yankees win the World Series over the Chicago Cubs 4-0.

New York enacts the first law requiring medical tests for marriage licences.

A can of meat put up in 1824 is discovered and its contents are fed to test rats without any observable ill effects.

Niacin is discovered.

Cryovac deep-freezing is developed for food preservation.

The US Supreme Court orders equal accomodations for Missouri law students regardless of race.

Italy wins the World Cup Soccer final against Hungary 4-2; There was not another World Cup held until 1950.

Peace is resumed between Great Britain and Ireland.

Don Budge won the first "Grand Slam" by winning at Wimbledon, Forest Hills, France and Australia; This was not repeated in 24 years.

The first Carnegie Hall Jazz Concert is given by Benny Goodman.

Orson Welles' "War of the Worlds" is broadcast; Thousands panic despite periodic warnings that it was a dramatization.

Nescafé is introduced in Switzerland by Nestle after an eight year research period.

Walt Disney's "Snow White and the Seven Dwarves" is the first full-length animated cartoon feature film.

The Adventures of Robin Hood is first filmed, as well as the Adventures of Tom Sawyer.

The theatre production "Our Town" is first staged by Thornton Wilder.