In memoriam and its sequel
Evidence rely quite a lot on "real world" stuff (websites, email, Internet searches, etc.). I haven't played them, though, so I can't comment any further on them.
I'm not sure I'm in favour of a game relying on external elements. I love replaying games, and I can still play game that were released 20 years ago without problem. So I'm not sure I'd be interested in a game that is going to become unplayable after a couple of years because the external elements it relied on (websites, etc.) are no longer there.