Royal Bank of Scotland undertook the £15 million national rebranding campaign following its acquisition of the business from Virgin and AMP in July 2001.
The campaign highlights the flexibility The One account offers, and the benefits consumers enjoy when they know more about banking.
Each ad is a mini-episode of Hector's House and links amusing stories with salient product points, such as freeing up more cash or getting a loan by offsetting a mortgage with The One account.
Each treatment stars Hector the dog, the cat Madam Zsa Zsa, and their next-door neighbour, Kiki the frog.
Hector is portrayed as being stuck in his ways, while Kiki is able to purchase much better products by having The One account, proving to Hector what he could do if he were more open-minded.
Trevor Beattie, the chairman and creative director of TBWA, said: "Up until now, financial advertising has always been either dense and metaphorical or poetic and worthy. It's time for daft and approachable."
Directed by Danny Kleinman at Spectre, the television work comprises 60-second, a 30-second, 40-second and ten-second spots, and will be supported by press activity.
The campaign was written by Alasdair Graham and art directed by Frazer Jelleyman. Press illustration is by Sam Mendes.
Media planning and buying was handled by MediaCom.