A group of criminals raid an important British atomic laboratory and photograph some key documents onto microfilm. When the customs officers quickly clamp down on passengers leaving the country, one of the men hides the film in the mink coat of the ventriloquist performer Penny Page who is flying to Paris. When Brady's sister Diane witnesses this, the pair find themselves drawn into a deadly game as the criminals try to get the invaluable film back from Mrs Page.

Dr. John Brady is working at the Castle Hill government laboratory investigating the nature of refraction - his experiments achieve success when he is able to make a rat become invisible - but a leak in the containment chamber releases the radation into the lab, and Brady finds himself rendered completely invisible as well. At first put under lock and key by the government, he escapes and runs to his former colleague Dr. Crompton for help, but finds that the powers of invisibility have the potential to corrupt... The first episode begins very quickly, with Brady becoming invisible in the first moments. Fortunately they give time to introduce and develop Brady and his family before the action starts - already however, the 25 minute runtimes of these episodes starts to show itself, and the pacing does seem a little rushed.

An outspoken Russian scientist speaking in London is kidnapped by secret agents and locked up in the embassy. Brady follows her and breaks into the embassy before beginning a diplomatic attempt to have her freed. When this fails he sneaks her out of the building to his own house, but finds that the Russian ambassador is not going to give up the chase easily...

Military scientists have been working on a new form of explosive mine containing a light sensitive cell (designed by Peter Brady), that will detonate when a shadow passes over it. During testing there is an accident and an officer is trapped in a pit next to the mine, unable to move. With only a few minutes before the edge of the pit casts a shadow over the sensor, they call the only man in the world who could get to the mine without casting a shadow...

After loosing big at gambling, Smith, the transport officer at Castle Hill is offered a large amount of money to leak the departure time of a major new experimental rocket section that is being driven up to Scotland for testing. The shipment is hijacked, and Peter Brady who worked on it, sets out to track it down.

A young woman walking through a park in France discovers a rabbit that materialises in front of her. Taking it to the government in Paris, they are concerned that it could represent unofficial scientific research and call in Peter Brady from London to take a look at the creature and discover if it could really have been invisible. Heading down to where the creature was found, he discovers a sinister project...

A UN inspection fails to find the suppliers selling weapons to terrorists operating in the Middle East, however the British representitive Zena Flemming suspects that she might be able to find more evidence if she heads back alone, but takes Peter Brady with her for protection, and as a second pair of eyes.

Toni Trent, one half of a pair of twins and a popular double-act, performing for the troops on a USO tour of Britain finds herself in trouble when she witnesses a killing, and is kidnapped. When her sister Terry arrives in the country and finds Toni gone, she looks to Peter Brady to help.

When one of Brady's colleagues announces that he will not be returning from his holiday in Italy, and is seen using his mathematical talents to win at roulette, Brady decides to fly out and convince him to return - but he soon discovers that Professor Owens is working to save his daughter who is being held hostage by the mob...

When an outspoken Russian writer is detained at the country's frontier while on the way to a major awards ceremony, Brady decides to cross the border himself and let her out, but he quickly runs afoul of the local military commander...

Brady is tricked at a Paris airport, and has his bag and passport stolen - a criminal disguised as Brady uses his passport to travel across to England with a suitcase full of cocaine. Annoyed at this, Brady offers to help the police track down the dealers in London.

In a small Middle Eastern country, the head of the army presents a plan to the King to exploit their position as friends of the major Eastern and Western powers to blackmail major governments. The King refuses to sign and is shot dead, his younger brother, Prince Jonetta is attending a science lecture at his University in Oxford when he learns the news. Brady was presenting the lecture, and decides to sneak aboard as Jonetta travels back home, suspecting there might be trouble...

After a serious car accident witnessed by many people, the government reveal Brady's invisibility to the press and he becomes a near-celebrity figure hounded by the media. Meanwhile the friend of his young niece begins to suspect that her stepfather is planning to murder her mother for the inheritance and pleads with Brady to help...

When the reformed career criminal is framed for an armed robbery and sent to prison again, he is determined to get free and prove his innocence and escapes 5 times before being recaptured. Curious about the story, Brady decides to investigate and helps the man to escape again to discover the truth behind the conviction...

After a plane crashes on arrival at a British airport leaving no survivors, the investigators discover that a component for an atomic bomb had been hidden inside some of the baggage. They suspect that individuals might be planning to plant a bomb under London and begin the search for a replacement piece that would probably be on its way.

A Russian sailor makes a bid for freedom from a trawler at anchor in a British harbour, but is soon captured and taken back to the ship. The head of the refugee committee appeals to Brady to help them and although reluctant to assist, he soon decides to sneak on board the ship and find out what he can do to help - however, it soon turns out that Brady has been set up, and he is ambushed by the sailors as the ship heads back towards Russia.