Officer positions

RogerBW

You must have at least one point in each Required skill; each point makes you more likely to be considered a good fit for the job. Each point in Helpful skills counts for less, but still in your favour.
Leadership is Helpful in any role.

Warfare Branch

Helm

Required: Piloting (High-Performance Spacecraft)

Navigation

Required: Navigation (Space)
Helpful: Navigation (Hyperspace)

Sensors

Required: Electronics Operation (Sensors)
Helpful: Engineer (Spaceships)

Weapons

Required: Gunner (any)
Helpful: Artillery (Guided Missile)

Aviation (Small Craft)

Required: Pilot (Aerospace), Pilot (High-Performance Spacecraft)
Helpful: Mechanic (relevant), Navigation (Air), Navigation (Space)

Naval Gunfire Liaison

(this isn’t usually a full-time job but will be handled by a Warfare officer)
Required: Forward Observer, Navigation (Space), Observation
Helpful: Artillery (Guided Missile), Electronics Operation (Communications), Gunner (Beams)

Engineering Branch

Engineering

Helpful (Required for small ship): Electrician, Mechanic (relevant)
Helpful: Engineer (relevant), Hazardous Materials (Chemical, Nanotech, Radioactive)

Communications/EW

Required: Electronic Operations (Communication), Spacer
Helpful: Electronic Operations (Electronic Warfare), Computer Programming

Damage Control

Required: Armoury (relevant), Electronics Repair (relevant), Mechanic (relevant)
Helpful: Hazardous Materials (Chemical, Nanotech, Radioactive)

Informatics

Required: Computer Programming
Helpful: Expert (Computer Security), Cryptography

Environmental

Required: Bioengineering (Tissue Engineering), Mechanic (Life Support)
Helpful: Housekeeping

Supply

Logistics

Required: Administration
Helpful: Housekeeping

Administration

Required: Administration
Helpful: Accounting, Finance, Merchant, Scrounging

Other Roles

Captain

(Usually from Warfare, sometimes Engineering)
Required: Administration, Leadership, Shiphandling, Tactics
Helpful: Diplomacy, Strategy

Medical

(Its own branch)
Required: Diagnosis, Physician, Surgery
Helpful: Pharmacy (Synthetic), Hazardous Materials (Biological, Chemical, Nanotech, Radioactive)

Staff Officer

(Usually from Warfare)
Required: Administration, Diplomacy, Savoir-Faire (Military)
Helpful: Politics, Tactics, Strategy (Space), Strategy (Interstellar)