It also depends on how in character you want to get. I know there are Amarr and Minmatar PVP RP corps (PIE and Ushra'Khan) who have been carrying on the Amarr/Minmatar war for years before the faction warfare stuff came out.

I would assume there are equally dedicated Caldari and Gallente organizations out there.

http://www.ushrakhan.com/portal/

http://eve-history.net/wiki/index.php/Ushra%27Khan

http://eve-history.net/wiki/index.php/PIE

You can see the RP driven nature of parts of in entries like this:

http://www.eve-wiki.net/index.php?title=Apocalypse_Imperial_Issue

Apocalypse Imperial Issue

However, a fifth briefly existed; one Apocalypse Imperial Issue was given out as a prize from the BIG Lottery. It was flown by a player named Clone 0, and while moving the ship from one station to another, an attempt was made to destroy it by a group of Minmatar roleplay corporations. It was defended successfully by a group of Amarr roleplayers. CCP took the Apocalypse Imperial Issue back as part of a roleplaying event on the request of the player receiving the ship.

Other resources:

1. Eve-Chatsubo.com

2. Backstage.eve-inspiracy.com