Heh, my Mercenary characters (yes, two of them), have no tag and a totally neutral reputation--save the impossibles and the Xenos on one of them so that's what I thought was best.
I think I'm a little too late for neutral. I have green with various Liberty and Kusari organisations, the Gas Miner's Guild, The Order and the Gaians, and more. Red is mostly Rogue-type organisations. I can't be bothered making a new account and transferring all of my stuff to there.
But, I 'spose I should do something about it.
Known as on Discovery RP 24/7: Thomas_Hill - Train [KNF]TakajiKimura - Chimera
You may also know me elsewhere as I'll Begin or something including "Volbeat"
It's quite possible to drop to neutral with everyone, and certainly worth it if you've put a bunch of work into the character.
Start by making a note of which groups you're green to and close to being eligible for a tag from, not including your current tag. Take and abort a bunch of missions for the ones you can find. (So far, the only groups I haven't seen missions for are Synth Foods and Cryer Pharmaceuticals. If anyone knows of any, please let me know. I need to ditch my Cryer tag and I don't want to switch to Synth Foods when I do.)
You may need to attack some ships that you'd otherwise be friendly to in order to get everything in line, but don't get carried away, since killing ships affects allies and enemies more than aborting missions.
I think you can get Cryer missions somewhere in Edinburgh.
Known as on Discovery RP 24/7: Thomas_Hill - Train [KNF]TakajiKimura - Chimera
You may also know me elsewhere as I'll Begin or something including "Volbeat"