Wow, I’m surprised nobody mentioned ‘The Plan’ for increasing Faction standings.
Granted it’s main purpose is to repair negative Faction standings but in reality it can be used to gain positive Faction standing increase with all Factions. Guess it all depends on how you view and use it.
Course the only Empire Faction standings to worry about are the ones that control high sec systems:
Amarr Empire
Caldari State
Minmatar Republic
Gallente Federation
Khanid Kingdom
Ammatar Mandate
The Interbus
Concord Assembly