It seems that Bugsy McKenna is on the run from the mob. Not just any mob, one headed up by a well educated Mr. Henry Praisewater accompanied by his two henchman. Bugsy was given money to purchase land in the desert for a new hotel but he invested it in his name now they want his hide. He turns to his friend Mr. Lucky to hide him, but Praisewater is hot on Bugsy's tail. Mr. Lucky is caught by Praisewater, claiming Bugsy's not on his casino boat. A few minutes later Mr. Lucky literally steps on Bugsy, to his surprise. He tries to hide Bugsy in the hidden wine room but Bugsy gets drunk and escapes. To add to the chaos, Bugsy's wife is onboard and in order to protect her Lucky knocks her out, pretending she's some woman he's romancing. Bugsy, walking around the boat druink accidentally dropping a bottle of champagne on Praisewater's head. Now Bugsy's cover is blown. Praisewater beats up Lucky and his sidekick Andamo. Mrs. Bugsy wakes up, see's her husband about to be shot and grabs Lucky's

An insurance company is after Maggie to give her money inherited from an uncle, right after Mr. Lucky puts her into hiding since she witnessed a mob killing.

A known criminal tries stronger tactics when Mr. Lucky refuses to sell him the Fortuna for a ridiculous price.

Lucky wins a lottery for which the prize is a date with a popular Hollywood actress who asks Lucky for help against blackmailers.

During the middle of the night a small boy is smuggled onto the Fortuna from a small fishing vessel.

Stowaways plan to enter the United States on board the Fortuna and once there spread pro-Nazi literature.

Mr. Lucky and his associate Andamo are forced to abandon their casino in Andamo's island country when the corrupt president learns that their yacht, the Fortuna, has been used by a group of revolutionaries to bring in arms.

Lucky and Andamo find a missing heiress who has been living in poverty.

After a ruined poker player attempts suicide, Lucky sets out to find who has been using marked cards at a friend's club.

A woman who needs lots of money very quickly comes to Mr. Lucky for help.

Mr. Lucky is informed that money he won gambling with a scar-faced man was stolen from a race track.

Andamo falls for a lady who boards the Fortuna in an effort to stop gambling there.

A runaway heiress stows away on board the Fortuna, but a peculiar man is pursuing her.

A man who lost a large bet to Lucky over the outcome of a South American election tries to kill Mr. Lucky to avoid paying the debt.

Lucky is challenged to a high stakes game of pool by a gambler who brings a pair of thugs with him to insure that he wins.

An ex-convict who can't handle the outside world seeks Mr. Lucky's help in returning to prison.

A wartime buddy sends Mr. Lucky a hideous painting for a birthday gift which the artist desperately wants back.

The police inform Mr. Lucky that they can't go after three elderly men who robbed the Fortuna, since it was outside the three mile limit when the crime occurred.

After Lucky decides to change the Fortuna from a gambling casino to a supper club, a woman who Lucky rescues when she attempts suicide asks him for a very large loan.

A gangster is pressuring a comedian who works on the Fortuna to quit his job.

A businessman under investigation for tax fraud tries to place a similar rap on Mr. Lucky to keep the IRS investigator busy until he can fix his own books.

Lucky holds a charity boxing match on board the Fortuna.

Bandits set out to frame Mr. Lucky when he turns down their request to use the Fortuna as a getaway vehicle.

Lucky runs for city council to try to oust the criminals who run the town.

Lucky is accused of a hit-and-run murder when he loans his car to a friend.