I know I'm like a broken record with these two movies, but that's because they're really good:
Oldboy
Thirst
(Title links are to reviews by Roger Ebert)
They're both South Korean films by director Chan-wook Park. And I know for a fact that both are available via Netflix.
I think
OldBoy (2005) especially will be right up your alley from the descriptions you've given of what you're looking for (you'll notice Safetydan recommended this one above, consider this a +1 to that recommendation). It begins with a drunk man being whisked away and locked in a motel room for 15 years. There is a bed, bathroom, and TV, and he is fed regularly, and occasionally knocked out with gas so that he can be cleaned up and given haircuts. While imprisoned, he discovers through TV news reports that his wife has been murdered and his daughter whisked away, and that he has been framed for both. He tries to kill himself twice, and begins filling notebooks with all the wrongs he has done in life, trying to figure out what he has done to deserve such imprisonment. After 15 years, he is let out by his captor, and told that he has 5 days to figure out why he was locked up in the first place.
Thirst (2009) is actually a vampire movie, but a very unconventional one. The main character is a priest who volunteers to be infected with a deadly virus in order to participate in drug trials to develop a cure. The disease progresses quickly and he nearly dies (or perhaps, actually does die), but he is unknowingly given a blood transfusion from a vampire. Unwilling to kill anyone, the priest siphons blood from comatose hospital patients. But the need for blood is not his only problem...
In any case, at least check out
OldBoy, and if you like that one, try out
Thirst. They're really somethin' else.
FWIW, Season 2 is the best one. Been a while since I've seen of it, but I think each season is self-contained enough that you could simply watch season 2 by itself and it should make sense.