Mike,
In general, they are few and far between.
Wild Rose is a 2 foot gauge quarry Hunslet, which would run on 32mm track. If you built it to 7/8" scale (rather than 16mm) that would run on 45mm (as Bill suggests).
Otherwise, there is Keith Bucklitch's Brazil (now a very old design) and his Izubuntu (Isubuntu??) – which was meant to be built using no-longer available Roundhouse parts (for the cylinders and motion), so wasn't a "build it from scratch" job.
On the 16mm Association website, under resources are details of a couple more locos – but weird ones, rather than the general "British outline" you requested.
Good luck.
Regards Tom