It happens with me on occasion, but the most remarkable I remember was from when I was around 15 years old or so. It was no special occasion, and nothing significant, but a friend of mine from school was spending the night, and we were sitting at the dinner table with my family eating dinner. The strangest feeling came over me as I suddenly knew what everyone was about to say before they said it. This lasted for probably 2-3 minutes, then everything returned to normal. I occasionally still have something weird, but usually of really short duration.
I used to really be curious as to what caused this, and I read whatever I could get my hands on about the subject. My current thoughts on the issue and it's causes is probably too lengthy and complex to really get into on a discussion forum, but I think it may have something to do with human perceptions of time and space.