For Iraq - Battle for Haditha or In the Loop are the only ones i know of, but ones focused on an atrocity committed by nato troops, the other a comedy, so not a typical glorious war film or anything
If you interested (I know they are not British but american and I think Finnish) but Armadillo and Restrepo are very good all filmed first hand by troops and there is a "sequel" to Restrepo on Netflix called Korengal