During the celebration of nine hundred years of Oxford in the opening scene in "Trove" (S02E01) Kitty Batten (Jessie Buckley) raises an unloaded Smith & Wesson Model 10 revolver at beauty queen Diana Day (Jessica Ellerby) while her friend sprays Diana with red paint. In the climactic scene in "Neverland" (S02E04) corrupt DI Bart Church (Simon Kunz) and one his men (uncredited) fire Smith & Wesson Model 10 revolvers at Morse's car. DI Fred Thursday (Roger Allam) uses a Model 10 revolver during the showdown in Blenheim Vale.
Smith & Wesson Model 10HB
Due to a continuity error DI Thursday's Smith & Wesson Model 10 swithes to a Model 10HB during the showdown in Blenheim Vale. Then Angela McGarrett (Emma Hiddleston) takes Thursday's revolver.
A Webley .38 Mk IV revolver is used by corrupt Assistant Chief Constable Clive Deare (James Wilby) in the climactic scene in "Neverland" (S02E04).
Submachine Guns
Sten Mk V
During the pageant on celebration of nine hundred years of Oxford in the opening scene in "Trove" (S02E01) a reenactor, dressed as British soldier of WW2, carries a Sten Mk V.
Rifles
Enfield Pattern 1853
During the pageant on celebration of nine hundred years of Oxford in the opening scene in "Trove" (S02E01) several reenactors, dressed as British soldiers of Crimean War, carry a Enfield Pattern 1853 rifled muskets.
Lee-Enfield No. 1 Mk. III*
During the pageant on celebration of nine hundred years of Oxford in the opening scene in "Trove" (S02E01) a reenactor, dressed as British soldier of WW1, carries a Lee-Enfield rifle. The rifle is seen only partially, but as other reenactors have weapons, correct for depicted epochs, we could assume that in this case the gun is also correct and is a Lee-Enfield No.1 Mk.III*.
Small caliber rifle
Walter Fisher (Nigel Cooke) carries a bolt action small caliber rifle in "Trove" (S02E01).
Machine Guns
Bren Mk.1
During the pageant on celebration of nine hundred years of Oxford in the opening scene in "Trove" (S02E01) a reenactor, dressed as British soldier of WW2, carries a Bren Mk.1 light machine gun.
Trivia
In "Sway" (S02E03) images of WW2 airplanes are seen in the office of Mr. Brian Quinbury (Tim McMullan) who was a fighter pilot.