I did this with a Spitfire I was involved with excavating a couple of years ago. We had the aircraft’s movement history from the relevant Air Britain book so I looked up as many units that is was recorded with at the National Archives.

Some recorded operational flights and others didn’t.

The most interesting time, the few days around D-Day, was blank as the squadron flew so many sorties they simply stated that they flew from dawn until dusk constantly turning a/c around (re-arm & re-fuel) and sending them back out.

A Halifax should be fairly easy if it was with frontline squadrons, once it was with an HCU or similar the level of detail will drop to general facts about the unit.

Key sources should be:

Air Minstry Form 78 (RAF Museum, Department of Research & Information Servieces)
Air Britain, serials register (sourced from F-78s but not 100% correct)
Operations Record Books (Form 540 / 541) (National Archvies) AIR 27/### for operational squadrons AIR 29/### for secondary units.

If the aircraft had any accidents they are recorded by the Form 1180 (again at the RAF Museum), these are on microfilm and are arranged by aircraft type and then date of accident so knowing the serial will not always help, your best source of accident dates would be the ORB.