It tells the adventures of a balloonist, Phineas, and two teenagers, photographer Jenny and reporter Hoppy, who set off on adventures around the world to get around him in 79 days and break the record. The trio also competes for a $1 million prize against the sinister Chickpeade, who was supposed to be Phineas's butler, who is aided by his disruptive chauffeur and pet monkey Simon.

Episode 1
The Race Is On
Sep 6, 1969
The race is on, with Phineas' first destination being in Paris, but Crumden has a sneaky scheme to try and get Phineas locked up at Paris.

Episode 2
Swiss Mis-Adventure
Sep 13, 1969
Phineas and his friends are forced to make an emergency landing in the Swiss Alps when Crumden's monkey, Smikry, douses their hot air balloon with freezing water.

Episode 3
Arabian Daze
Sep 20, 1969
Crumden lures Phineas and his friends away from their hot air balloon, leaving them stranded in the middle of the Arabian Desert.

Episode 4
Madrid or Busted
Sep 27, 1969
While taking a break from their 'round the world journey in Madrid, Spain, the trio has their balloon and map stolen by Crumden, resulting in a desperate chase through the ancient city to recover their property and get back in the race.

Episode 5
Mr. Bom-Bom
Oct 4, 1969

Episode 6
India or Bust
Oct 11, 1969

Episode 7
Snow Slappy
Oct 18, 1969

Episode 8
Finney, Finney Fun, Fun
Oct 25, 1969

Episode 9
The Argentiney Meany
Nov 1, 1969

Episode 10
The Tree Man
Nov 8, 1969

Episode 11
Saucy Aussie
Nov 15, 1969

Episode 12
Crumden's Last Stand
Nov 22, 1969

Episode 13
Egyptian Jinx
Nov 29, 1969

Episode 14
Border Disorder
Dec 6, 1969

Episode 15
Troubles in Dutch
Dec 13, 1969

Episode 16
The Fiji Weegees
Dec 20, 1969

Episode 17
Hawaiian Hangup
Dec 27, 1969