Be Lucky surrounds Dylan, a man who is searching for peace and quiet while living in a remote cottage in Snowdonia. However, his dream is harder to achieve than initially thought.
Episodes in the first series did not use named titles.
Dylan finds his council tax has doubled which means his career as a competition entrant is in jeopardy, and at the suggestion of friend and postman Gabriel, decides to take in a lodger as well as look for a job. After meeting two oddball potential residents, Dylan meets Ruth who completes questionnaires for a company, and attempts to help him find a job. Ruth herself however ends up getting fired for taking too long with Dylan. Ruth, having to move in any case, asks whether she can move in with Dylan to which he agrees.
Finding he has relatives on the continent, Dylan takes to learning Walloon while Ruth is baking some cakes. Dylan's latest competition win is twelve oak trees, though he finds they are only acorns. Ruth has also made her own version of Monopoly, which has a crossover with Cluedo. Gabriel arrives, and introduces Dylan to a subtext translator, which ends up revealing the real meaning of what each says. Ruth decides with the "success" of her cake baking, to setup a cafe at the house. Coupled with Gabriel getting the house listed, which leads to a large number of people turning up.
Ruth has decided to make a papier-mâché statue out of junk mail to replace one being torn down in Karvistan as the country goes through political turmoil. Dylan meanwhile wins a five hundred pound cheque in a competition, and sets about opening a bank account to send the money to Karvistan. This leads to a competition between the pair. Dylan however soon finds that his name has been used for identity theft, so resorts to buying Karvistan currency to restore confidence in the country's banks which causes more problems.
Dylan is still searching for peaceful tranquility, though discovers the various electronic devices and their noises makes this difficult. Ruth is also in a down mood, as she plans to book her own funeral before starting to believe she is dead. Winning a competition, Dylan has a won a Margaret - a voice-activated internet home hub, which ends up arguing with him. Setting about cancelling his internet service to reduce the digital noise in his life, Margaret cutting off internet services affects people across the world. GCHQ get involved and arrive at Dylan's door in an attempt to reboot the internet, much to Gabriel's dismay.
Ruth is determined to find her own water supply after that to the house ends up tasting funny and has some odd side effects. However, when Gabriel drinks it and takes up dowsing, he discovers that the house is sat over valuable minerals which become the target of evil powers. Dylan also wants to declutter his life after winning some pointless coffee-making equipment in a competition, though has to cope with the people who take it as well as dealing with brainwashing.
As Gabriel arrives, the three set about comparing their bucket lists, and Dylan sets about visiting the one place he never could - Wrexham - where he was supposed to see a school friend perform. Gabriel reveals that Vanessa Griffiths is now a famous singer-songwriter, so he sets about writing a letter to her to apologise though she ends up contacting him first and the two agree to meet though it leaves Dylan feeling down about the state of his life. Meanwhile, Ruth attempts to solve world hunger by growing potatoes.