As a UK scandi, I feel the need to clarify as a lot of the comments seem confused: OP isn't asking what the equivalent to Moomin is in the UK. There's a very specific set of cups and other crockery with Moomin themes that are sold in Scandinavia (and some places in the UK by the sounds of it).

Some people collect them, and they are a very typical and safe gift to give to someone you don't know well as they are characteristic, yet classy. I think you can even get them as a reward for donating blood in Norway, to exemplify what a "wide net" gift it is. OP's question is if there is, culturally speaking, any type of product that is used in the same way, as a sort of catch-all gift you can give in, say, a secret santa, or at the housewarming party of your dad's new girlfriend.