Air Atlantis (TAP subsidiary) was another airline that used 707's on relatively short flights incl NCL to FAO in 86.
Never saw a JAT 707 but did fly on their 737-300's in the late 80's to DBV. Apart from the JR pre-fix the only sight/mention of Air Yugoslavia was coming home at DBV where the indicator boards showed this name instead of JAT. At the time this was the most modern aircraft that I'd been on and the first with TV's on board. The entertainment was however limited to a promotional film and song about Belgrade which was on a constant loop for 3 hours each way!
Perhaps because it was a Saturday, the crew were taking in easy. The safety demonstration video has just started as we lined up for take off at DBV, it was then abruptly stopped and resumed once in the air (legal?) as soon as in the air the crew started smoking while still in their seats (with numerous ciggy breaks following!) and while we assumed that the captain had initially made a mistake saying we were going to GLA it turned out as we flew over NCL at 30,000ft he actually thought we were! Either he realised or ATC pointed out where we were supposed to be going but a very rapid decent followed! Not very slick but it made it memorable as did the man who walked from the back of the plane with a tool box shortly after leaving DBV and then performed some "in flight maintainaence" while in the air with the cockpit door open!