After escaping Andamo's country, Lucky and Andamo end up at a costume party aboard a yacht. A case of mistaken identity leads Lucky to break up a conman's scheme... and his daughter takes it personally. So do the mobsters the conman was paying off.
A man on the run from the Mob asks his old friend Lucky to hide him from his pursuers, but it might be easier said than done.
The police inform Lucky that counterfeit money is being put into circulation from the Fortuna's home port. While Lucky tries to figure out if the counterfeiters are using his yacht to smuggle the money in, he deals with a mathematics professor trying to break the bank and a beautiful woman who may not be all that she seems.
Lucky is challenged to a high-stakes game of pool by a gangster who's out to win at any cost. He decides to throw the game rather than lose his life, but things get complicated when Andamo places a bet to cover their losses... and gets found out.
Willie Conway, an ex-con who can't handle the outside world, asks Lucky to help him return to federal prison. Things get complicated when two criminals get wind of the scheme that Lucky concocts to set Willie up for a new federal crime.
While a beautiful woman provides a distraction, smugglers attach a fake mine filled with gems to the Fortuna. A crewman spots them and the police are called in, but the smugglers capture Lucky and demand that he return the gems... or the next mine will be a real one.
Thieves steal a check which was given to Lucky by a woman to cover a large gambling debt.
A wartime pal sends Mr. Lucky a dreadful painting but the original artist desperately wants it back.
When Lucky's girlfriend Maggie witnesses a gangland killing, he sends her into hiding.
Mr. Lucky is informed that money he won while gambling with a scarred faced man was stolen from a race track.
A reformer boards the Fortuna in an effort to stop gambling on board the vessel. Andamo falls for the woman.
Lucky rescues a woman from committing suicide. Then she hits him up for a large loan.
A gangster begins pressuring the Fortuna's house comic to quit his job and work at his club.
Mr. Lucky steps into try and help when his chef is arrested and thrown into jail for parole violations.
A lawyer embroiled in a bitter custody battle over his young daughter attempts to smuggle her out of the country on the Fortuna.
Lucky tries to find out who's trying to kill him (or have him killed).
A racketeer won't take no for an answer when Lucky refuses to sell him the Fortuna.
Lucky runs for the city council as part of a reform ticket.
Lucky gets involved in a hit-and-run death after loaning his car to a friend.
In a lottery drawing, Lucky wins a date with a Hollywood actress who then asks for his help against blackmailers.
A small boy is smuggled onto the Fortuna from a fishing vessel in the middle of the night.
Instead of being grateful, a bumbling waiter robs Mr. Lucky after being given one last chance.
When a runaway heiress stows away aboard the Fortuna, she is followed by a rather odd chap.
Lucky is approached by a woman who needs a large sum of money very quickly.
After losing a large bet on the outcome of a Latin American election, a man decides to kill Lucky rather than pay off.