So I'm listening to Declarations of War 50th Episode extravaganza and they are soliciting each other and their "Live studio audience" for favourite memories from their time in Eve. So while listening I tried to decide what my favourite memory was and I had a lot of trouble.
I've been playing Eve since September of 2006 but missed a lot of big events due to my limited time. So big things like the Battle of D-GTMI where the power of CVA and the holders was broken in a one sided battle against AAA, or the battle of LXQ2-T between the Northern Coalition and the Drone Russians which was the largest ever battle in Eve in terms of number of involved pilots, I missed even though I was a member of one of the alliances involved because I just was not logged in that day.
That's not to say I missed out on every big battle. Once in Providence I was part of a fleet of battleships that gave chase and engage with a fleet of Goon Drakes and helped massacre them, and I've seen large capital fleets while in the Northern Coalition go around and reinforce a lot of POSes back in the day.
I did do two big events, the Bring Me The Head of Kirith Kodachi 1 and 2 which were great fun and generated some fond memories, but bigger is not always better.
During my years in m3 Corp we often did small gang stuff and I have some fond memories of going around in my Arazu and plucking juicy targets at suns and gates for the gang to stomp. And during my time in Shadow Cartel I had a few solo roams where I caught something and killed it, always fun. Even in faction warfare I've had some fun times like when I took a Ferox against 6 hostile frigates and a Caracal and won, or when I killed in my Daredevil against a Corax and a Merlin, and that time I was stuck in my Incursus against two Maulus and one made a misclick and allowed me to catch it and eat it alive. Or even more recently when I took on notorious Dark Loci and his friend in a Caracal and Catalyst in my Vexor and won.
I guess what I'm saying is that for me Eve has been a stream of great times and its hard to pick out just one as my favourite. I love this game.