Since NorthWestKentFHS has resurrected this old thread, I can confirm, as GirlGuide mentioned in the first reply to this thread, that ACI does indeed stand for Army Council Instruction. These days the term used is Defence Council Instruction. DCIs cover all three services.
ACIs were periodic administrative orders which applied throughout the Army, and dealt with a wide range of matters such as pay, allowances, conditions of service, ceremonial, honours and awards, the issue and use of equipment, the Army estate including barracks and quarters. They were not used for operational matters such as deployments. The numbering restarted at 1 on the first of January of each year.
Copies of ACIs can be found in WO 293 at TNA, with No 470 of 1918 contained in
WO 293/8