In no particular order. Any omissions are unintentional, and may not include temporary field attachments.
HQ 16 Air Assault Brigade
Parachute Regiment:
2nd Battalion, The Parachute Regiment (2 PARA)
3rd Battalion, The Parachute Regiment (3 PARA)
Elements of 4th Battalion, The Parachute Regiment (4 PARA V)
Infantry Regiments:
1st Battalion, Irish Guards
The Royal Highland Fusiliers, 2nd Battalion The Royal Regiment of Scotland
The Argyll and Sutherland Highlanders, 5th Battalion The Royal Regiment of Scotland
1st Battalion, The Royal Irish Regiment (27th (Inniskilling), 83rd, 87th and Ulster Defence Regiment)
Elements of 4th Battalion, Duke of Lancaster's Regiment
Supporting Arms and Services
216 Parachute Signals Squadron
Household Cavalry Regiment - 1 Sqn
2nd Royal Tank Regiment - 3 Sqn, HQ Elements
7th (Parachute) Regiment Royal Horse Artillery
32nd Regiment Royal Artillery
39th Regiment Royal Artillery
23 (Air Assault) Regiment, Royal Engineers
Elements of 33 Engineer Regiment (Explosive Ordnance Disposal), Royal Engineers
Elements of 101 Engineer Regiment (Explosive Ordnance Disposal), Royal Engineers
Elements of 170 (Infra Sp) Engineer Group, Royal Engineers
13 (Air Assault) Support Regiment, Royal Logistic Corps
6 Supply Regiment, Royal Logistic Corps
16 Close Support Medical Regiment
7th Battalion, Royal Electrical and Mechanical Engineers