Meeting all three criteria, I feel: in India, Rajasthan State, in the very last days of 1993 on the then abundantly steam-worked metre-gauge lines around Udaipur, of India's Western Railway. From Mavli Junction, on the "main line" not very far east of Udaipur, there was an appealing branch line running some fifty miles southward into the "back country", to the terminus of Bari Sadri. Branch served by one train in each direction daily, officially a "mixed"; but per all observed evidence, in the last decade of the twentieth century no freight on this route was still on rail -- the branch train appeared to be strictly passenger. Steam-hauled, by a class YP Pacific or class YG 2-8-2 -- which class, totally the luck of the draw.
If Indian passenger rail timetable-observance in the early 1990s had on the whole been good, I could comfortably have scheduled a (long) day's excursion Udaipur -- Mavli Jun. -- Bari Sadri -- Mavli Jun. -- Udaipur. Sadly, said observance there and then, was far from good: such a day-trip would have had more of a Russian-Roulette element, than I would have been comfortable with. Plan, thus, to take the outward working, 1040 ex Mavli Junction, the 7-odd miles to the branch's first station, Vallabhnagar; alighting there, and walking back to Mavli Junction, to be sure of getting my p.m. train back to Udaipur. This duly done: the 1040 that day was YG-hauled -- a "win": had by then travelled behind every Indian Railways steam class still in service except for this one -- the branch train's YG gave me a "full board". The 2-8-2 was hauling a self-contained three-coach unit, seemingly made from extruded plastic and highly reminiscent of an enlarged version of a seaside miniature railway's semi-open coach set; appearing rather thinly patronised, but not totally-hopelessly without any customers. Prompt departure took us to Vallabhnagar, about a twenty minutes' run; where, with some regret, I felt obliged to disembark and let the train go on its way. Long, hot walk back to Mavli through flat, dreary country: my impression from this only visit to India is that save for a few uncharacteristic parts, you don't go there for the scenery.
A feature of this journey was that though I tried my utmost to pay my fare Mavli Jun. -- Vallabhnagar: it proved totally impossible to find anyone who was interested in taking said fare. I don't hold with fare-dodging; but after utter failure of exhaustive attempts to pay (probably the equivalent of only a few pence), I concluded that if the Western Railway of India couldn't get their act together to make it possible for an earnestly-wishing-to-be-honest visitor, to pay them for their services; that was their problem.
A quarter of a century on, I would like to imagine that the Mavli Junction -- Bari Sadri branch is still offering its one-each-way-per-day passenger service (now diesel-powered, of course); but am not holding my breath.