It is frustrating that fare info isn't clear on the website.
Personally I found this line fairly dull and uninspiring. It isn't a patch on the top rank heritage lines like the NYMR or SVR but if you are in the area pop along and decide for yourself. They also don't run beyond Bishops Lydeard very often so you may need a bus from Taunton station.
Many UK heritage railways, not just a few, lack full fare information on websites. Above I stated what I paid from Minehead to Bishops Lydeard: GBP18.50 single.
On weekdays, the Taunton to Minehead route bus has a helpful half hourly frequency, with connecting to and from trains at Taunton railway station super easy because the bus stops are extremely close. The bus stops at Bishop Lydeard railway station: extremely convenient. Only on Sundays is the frequency poorer: 90 minutes or so.
WSR does not operate Taunton to Bishops Lydeard. I wish it did, but unfortunately it'd lose money I assume. It'd be better if the operation formally commenced from Taunton (every trip) but no doubt there are pathing reasons and bureaucracy, plus practicalities such as coaling, watering and Network Rail stipulations and requirements why it doesn't. Plus platform availability. Rare heritage specials do the full length: The Railway Touring Company has three scheduled in 2023, so worth patronising.
From overseas, I have previously done NYMR and SVR, the first all the way from Whitby after staying overnight to view the Captain Cook Museum, given his status as a wonderful explorer.
SVR doesn't even stick in my memory. NYMR does, but WSR is up there with the best, easily, because of Blue Anchor's classic interlocked gates, and how Minehead is a classic English seaside town that continues to be a popular holiday destination with its Butlin's Holiday Camp. There's also Dunster Castle near the line: I walked from Dunster station and back again.
The buffet car on WSR is not a feature all UK heritage railways have. The meal deal: pastie and Quantock Brewery 'stubbie' (bottled beer) was good value at GBP7.00.
Plus there's delightful smaller stations such as Stogumber that reputedly have terrific pasties (Oz spelling, sorry). And what about Crowcombe Heathfield: basically a full station in the middle of nowhere.
I was so impressed with WSR I became a shareholder. As usual, no dividends: basically a donation to an excellent cause.