Any non-stop Glasgow-Stirling train (almost all the Inverness, Aberdeen or Dundee services) pass through East Dumbartonshire, North Lanarkshire and Falkirk local authorities without a stop. the 1639 to Aberdeen from Queen Street doesn't even stop in Stirlingshire
Using the pre-1975 Regional/District Councils, Glasgow (Lanarkshire), Bishopbriggs and Lenzie (Dunbartonshire), and Croy (Stirlingshire).
Croy has a G65 postcode, which is Kilsyth. Kilsyth was part of Stirlingshire before 1975, before it left when the creation of Strathclyde Regional Council and Cumbernauld and Kilsyth District Council happened. Cumbernauld (G67/68 postcode) was previously in Dunbartonshire.
Both Kilsyth and Cumbernauld became part of North Lanarkshire Council in 1996 when the Regional and District Councils were abolished. Neither Kilsyth or Cumbernauld looks like, feels like, or sees like they are part of Lanarkshire. The North Lanarkshire headquarters in Motherwell are happy to collect the council tax payments, but give little in return such as recently removing recycling bins from flats, closing down autism centres, not trimming vegetation or mowing lawns so often, etc. I know a couple of people locally who have mentioned that it would be far better to bring back the former Cumbernauld Development Corporation, as the people who ran it knew exactly what they were doing.