How Spike wins deserves mention: He threw a knife at him. Only the dumbest of people would think to try that expecting it to work, and Spike only does it as his final, last ditch, probably futile effort after Pierrot has soundly thrashed him for pretty much the entire third act and is lining up a kill shot out in the open, with no cover left for Spike to hide behind and too many injuries to reach it if there was. It never occurred to the smartest of the mad scientists behind Pierrot's creation that someone would ever chuck a knife at him.
It gets better. The reason that Spike was able to pull this stunt? Spike has a fake eye that is a different color from the real one, similar to the cat (which had heterochromia) that was in the room with Pierrot during his traumatic experimentation (and was the reason that he was so afraid of cats), causing him to freeze up at a crucial moment.
And of course, everyone remembers the final scene. Bang.
To put this into perspective: Spike takes on the entire mafia group that he was once part of, including Vicious, and wins! If not for the fact that he had a bleeding eye and a useless arm by the time he reached Vicious, there is zero doubt that Spike would've owned him.
Ed and Ein also have their day, chasing down a mushroom smuggler. Although admittedly this is after Ed has tricked the rest of the crew into eating some of the bad mushrooms and getting completely spaced out on them.
Doohan's surprise launch of a re-built space shuttle Columbia is even more impressive considering this is his only appearance.
The episode Toys in the Attic features the most awesome failure to light a cigarette in the history of mankind. Spike's facial expressions through said failure just make it more awesome.
The refrigerator in this episode deserves its own place here for having an entire ecosystem inside it.
The whole episode could be considered one; from Faye cheating Jet out of all of his clothing in a game of dice, to Spike cooking with a flamethrower, to the lobster scene and beyond; for an episode that's out of the norm for Bebop, it's amazing how well everything works.
Spike and Jet defusing a hostage situation in a gas station robbery.
Spike and Electra's method of escaping from a prison cell.
Spike's aerial chase where he shakes off three other ships, crashes in the middle of a traffic jam on a bridge, then hops out and yells "Taxi!"
That scene has the best music in the movie and show. It's also combined with the longest, most stunt-filled aerial battle in Cowboy Bebop. Truly awesome stuff.
The three old men taking to the skies in an antique biplane.
Faye taking over the weather control dome to save the inhabitants of Mars from Vincent's terrorist attack.
"Me? I'm just a gun-totin' weather girl!" (fires her machine gun into the roof)
Spike's final showdown with Vincent.
Vincent during the train fight. He performs the moment of all martial arts moves when he grabs Spike's ribcage bones with his fingers through his skin and slowly begins to twist it. Then he detonates a grenade in the palm of his own hand.
Faye gets one when she shoots out tires while thugs are chasing Julia. Seeing her take down car after car with little effort truly earns her Action Girl status.
Rocco flipping a guy on his ass in the middle of a big gunfight using the skill that Spike taught him was pretty awesome. Especially considering the technique is all about keeping a calm mind and that particular situation was the exact opposite of calm. A shame that he dies literally immediately afterward.
Vicious deserves major props for taking on a gun-wielding Badass like Spike Speigel with nothing but a katana. Just try saying being that skilled and effective in a post-modern setting with a sword isn't cool.
How about the fact that the show debuted on September 2, 2001, on the very day that adultswim did, and it's STILL BEING SHOWN TODAY, having recently celebrated it's 10TH ANNIVERSARY! Not too shabby for a 26 episode series!
Ed's dad. See this seemingly harmless, map making, kid forgetting ditz? Yeah. All those eggs did him good, as he's able to mop the floor with Spike and Jet, with surprisingly little effort.
Jet coming to Spike's rescue with a construction vehicle in the first episode.
Rocco, a bumbling youth who Spike got suckered into mentoring in the ways of fighting, achieves a fluid state as he was taught for one brief moment before he's shot through the heart.
On a meta level, the show's english dub, courtesy of Bandai Entertainment. There have been good english dubs before, but the dub for Cowboy Bebop proves that, yes, english dubs are capable of surpassing the original japanese dub.