Check out the website JustWatch, it's a search engine where you type in a movie and it tells you every website it streams, either free with subscription or paid. Looks like Ju-on streams on Vudu and Tubi, but you'd have to pay for it on YouTube, Prime, Google Play, etc. One Missed Call isn't streaming anywhere, unfortunately.
Can't help you with the illegitimate side of things, sorry. Hope that site helps.
Downvote. Criterion sucks man. It's for people who think they have good taste in film. I tried using justwatch.com again after your recommendation and justwatch is just alright. Nothing special. Still not nearly as good as Flixable, flickmetrix, or lazyday. Mostly because I think justwatch has a terrible UI whereas the latter sites are much cleaner imo.
Finally found it, for anyone who comes across this thread: https://fsharetv.co/movie/taipei-story-episode-1-tt0089866#
Then download these subs, they sync up perfect, just drag and drop. https://subscene.com/subtitles/taipei-story/english/1585585
Have Amazon Prime? It can be streamed free. https://www.amazon.com/dp/B071NPV3R4
Or there's the OOP us DVD for $60 https://www.amazon.com/Sword-Masters-The-Battle-Wizard/dp/B001B3LIT2
Or there's the OOP Hong Kong DVD for $25 + whatever it costs to ship to the US, I found it on a marketplace and could get it.
(Without English Subtitles) https://www.yesasia.com/us/vital-blu-ray-hd-remastered-edition-japan-version/1050288500-0-0-0-en/info.html
(With English Subtitles) https://www.amazon.com/Vital-Tadanobu-Asano/dp/B000C65YMQ/