UK suspects on arrest are, nevertheless, read their rights in what is colloquially understood here as a "Miranda warning". It's my understanding that "Miranda rights" are a sort of colloquial shorthand in lots of countries, because we all see US crime procedurals.
(It's actually called "The Caution", and US Miranda rights were inspired by an earlier version, though AFAIR we borrowed back some changes that were influenced by the Miranda wording, before the contentious modification about "may harm your defence")
The subsequent "they modified Miranda" fuss made quite a bit of international news when it was introduced, with Americans sniping at us about changing it, arguing we'd taken away the right not to self-incriminate, etc., that we'd sullied the grand tradition of English Common Law, all that rather ironic snarking from the country that pioneered the abusive plea bargain system.
The Caution read at arrest is actually shorter in the UK; it doesn't mention that the cautioned have a right to an attorney or one will be appointed for them. They do, but the duty sergeant at the police station tells them that when they are booked.