Used to fly into Jersey (Channel Islands) all the time with a full 737 (300, 400 & 500). That runway was a mini-tad over 1700m and wasn't a problem. Never used more than autobrake 3 and very often could turn off way before the runway end.
Pontius, as a young kid growing up in Jersey during the late 70's, I remember BA sending a Tristar down to the island a couple of times, to pick up the backlog of passengers that were sometimes stranded for days as a result of fog. Now that was an impressive sight on a 1700m runway!