I believe @Sentenced_1989 has all 4 major Factions above 9.0 standing.
Everybody posted some great advice. Course I’ll also throw in my 0.02 ISK worth as well and put in a plug for ‘The Plan’…
As for your actual question:
Which activity does not affect NPC standing at all?
Most activities in Eve will in one way or another have an effect on standings.
These activities have no effect on standing at all:
Manufacturing (BPC production), Planetary Industry (Commodities production), Trade (Market sales), Exploration (Hacking sites), Transport (Contract courier)…
For more info on those topics, check out Uniwiki:
https://wiki.eveuniversity.org/Main_Page