The first time I took down the Alien Cruiser in a shuttle, for sure.
I'm also VERY proud of my #1 pilot file, which I'm certain is one of the best around. It ought to be; I've worked on it for 1-2 years. Its an EVGE pilot with:
-An Alien Command Ship as its personal ship, outfitted with 4 BattleCruisers, thousands of seeker drones, a particle beam, a tractor beam, the standard beam weapons that come with the ship, all 3 armors, a black lightning (!) a large supply of nuclear & polaris missiles, a missile jammer, and EVERY outfit worth having.
-A full escort consisting of an Alpha Proximan BattleCruiser, the awesome Polaris Wraith prototype (I captured this with a Proximan BattleCruiser after MANY attempts, and eventually used it to get my Command Ship), a Polaris Heavy Cruiser, 2 Rebel Carriers, and a Confederate BaseShip. No Galaxy Destroyers; never liked em'. I once had an Alien Attack Fighter, but that got taken out at one point (I think an Alien Maruader got it)
-MANY dominated stellars. Every Orion planet, every Confed stellar except for Earth (the defense fleet consists of hundreds of battle stations; what's a soul to do?) and Ruby, every Pirate stellar, and some random Indy ones. No Rebel or Polaris stellars dominated, since I like those guys.
-A HUGE load of money. Currently at 500 to 600 million.
-EVERY side has been played. Confed, Rebel, Orion, and Polaris (yes, it is quite possible). I also went through the Alpha Proximan string. In essence, I have access to EVERY technology that's possible to purchase. Confed or Rebel, Orion or Polaris, I can get it if I want it. I also have all the nice goodies that comes from playing nice with one side or the other: the Fed particle beam, the Rebel tractor beam, the Orion's armor, the Polaris' fuel regenerator.
-At one point or another, I've defeated practically every pers in EV/EVGE. Matt Burch, Captain Hector (the one in the majorly upgraded kestrel), The Creator, a vast assortment of alien vessels (Alien Attack Fighters, Alien Maruaders, Command Ships, BattleCruisers, all of them at once, you name it), and MANY more, too many to list.
BTW, EVERY accomplishment my pilot has made was done 100% by the book, without cheating. I did it all myself.
Also, my domination conquests are divided between my Rebel Carrier, Proximan BattleCruiser, and Polaris Wraith. Practically none were done with my Command Ship. So its safe to say that for most of domination attempts, the possibility to lose was definitely there (even the Wraith, while incredibly powerful, is not invincible to a sustained assault)
My only goal left for the pilot is to capture an Alien Maruader for myself. That'd make my pilot literally invincible given the ship's shielding, regeneration, and the disintegrator weapon that can kill ANYTHING with but one hit. Also, due to the capture, I'd end up with the Command Ship as an escort. I'd truly be unbeatable then.
So that's my ultimate pilot file. No crying here, cause nothing can beat it. 
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"Over the last 200 years, representative democracy and the free-enterprise system have proven to be extraordinarily effective at giving people the things they want--justice and propserity. Now, I do not claim that it is a perfect system--merely that it works better than everything else."
-Tom Clancy
(This message has been edited by UE Crusader (edited 12-05-2001).)
Post any of those proud Escape Velocity moments you encountered, or risky accomplishments.