An Ungentlemanly Act is an awesome film if a bit outdated. A modern version would be excellent.
The Falklands is the war in history that I love to study because it is close enough to be very relevant when looking at military history but it still counts as history and my Uncle was in 3 Para so I get all the stories! It is very difficult to find books that focus on RM and I think the main reason is that if you look at the mementous battles and the battles everyone remembers they were fought by Pongos. 2 Para at Goose Green is the very obvious one, VC won by the CO posthumously, lots of casualties, much more numerous enemy that surrendered. Mount Logndon is another; lots of casualties again, failed sneaky attack and a show of true Para grit to just grind the enemy down (on that subject 'Green Eyed Boys' by Christian Jennings and Adrian Weale is extremely good on this particular battle). Other than that the memorable ones to the public are BLuff Cove disaster and Tumbledown mount which were both Guards regiments.
Royal did sensationally well when you look at each individual battle but none of them have anything that stand out for the public or journalists. That said Nick Vaux wrote a book about 42, 'March to the South Atlantic', and Julian Thompson, I am pretty sure, wrote a book on 3 Cdo Bde (No Picnic), which of course included the Para units.
Mitch