Going to another world

I've been looking for an anime in which the main character somehow ends up in another world. I don't mind how the character gets there or what the world is exactly.

He could get there via any means (magic/time travel/space travel/etc) and the other 'world' could be anything really (fantasy world/virtual reality/another planet/dimension/universe/parallel universe). I would also consider it another world if the person had lived in a city all his life and suddenly gets dumped into a jungle (providing the entire series takes place there).

I'd like some adjusting/learning to be done before the character fits in (if he ever fits in)... if he feels right at home from the start then it's probably not what I'm looking for.

Examples:

Juuni Kokuki - Main chara starts off in modern day japan and gets transported via magic to a fantasy world.
Amatsuki - Main chara starts off in modern day japan and somehow ends up in the edo period.
Zero no Tsukaima - Again, the character starts in modern day japan and ends up in a fantasy world.
Black Lagoon - I consider that this qualifies because a normal white collar worker suddenly finds himself in the company of modern day pirates, and the underworld dealings become his everyday life.

Thank you in advance for any suggestions!