Heathrow arrival ATIS is available on OCK and BNN, not sure about BIG and LAM. In the USA, many airfields have an on airfield VOR and this also has ATIS.
Otherwise at smaller airfields in the UK it's simply an extra Tx at the airfield's own Tx site.
Bear in mind some are designated 'departure ATIS' and hence are transmitted at very low power as they're only meant for aircraft on the ground whilst a 'normal' ATIS has a DOC of about 60nm.