If you want to be called the most technical in the world you need to be close to 100% consistent with the following techniqes:
Wavedashing, complete control over the distance.
Wavelanding, from the edge, on platforms, accross platforms, from 1 platform to another, from the air to the ground, everything, you need to be waveland to it's near furthest extent from any place at any time.
L canceling. You cannot miss any.
Edgecanceling. Do this when you're not doing something else, hell, do this when you are doing something else. The faster you get your attacks out there the better. As long as they are serving a purpose, be it baiting, or putting pressure, or covering options.
SHFFLing attacks. People like to see fast, fast attacks, so we're talking, full hop fast fall L cancels from the ground to platforms, from the edge to platforms, while not always practical, to be considered super technical you need to fast fall like all of your attacks, and L cancel them 100% of the time. You can full hop them, SH is not a necessity, but basically don't get scared if you're above a platform, fast fall L cancel your attack any way.
Moonwalking. Be able to do it both directions, REALLY well, to give you an example of the distance you should be close to traveling watch this video:
http://www.youtube.com/watch?v=ebsxrZwGP_4
Incorporate this into your playstyle as well. Moonwalk off the edge and gimp your opponent with a bair/uair/dair/fair, anything.
Be extremly fast with upairs especially.
Side B cancel like jeff does, only better.
A good example, and an all around good video would be this one:
http://www.youtube.com/watch?v=-FJhmv_DGBk
This can be done against any wall, even the ones you can't always see, like on poke stadium on the mountain level, the thing you cannot walk from on the right side of the map, you know the one.
Know all of captain falcon's combos, go watch all the combo video's you find from him, and learn them. Warning though, many of them are very heavily DI dependent so you won't always be able to perform them.
Don't go for just 1 up air or nair to a knee. Nor should you knee directly out of a side B or of a throw. Unless they are at extremely high %. Always go for that extra hit and only finish with a knee on your second jump, unless you can finish with a knee without having to jump.
Learn scarjumping/walljumping.
Here's some good examples of how proficient you should be with it:
http://www.youtube.com/watch?v=ZtRxmZgsce0
http://www.youtube.com/watch?v=238BPPK4xd0#t=3m18s
When possible, walljump any attack is better than just an attack.
Pivot out of dash dances, but make sure it either hits the opponent's shield or the opponent.
Get really good at tech chasing, and tech chase with either a dair or a side B or a grab. Only tech chase knee if you know you can either get another knee after it, or a knee grab, or the knee will kill them. Aside from that you need to prioritize moves that lead into other moves.
Know any and all combo's that lead into falcon punch.
Falcon kick is okay to use, but sparingly, as it doesn't lead in to anything, but it's unusual and needs to stay that way so don't spam it.
The Gentleman. Punch Punch Knee. Do not mess this up, at all, ever.
Note: You will suck at this game for a long, long time until you completely master your character, know every inch of his spandex clad body, and are near 100% proficient with all of his techniques, these and the less than note worthy ones.
Also:
Lol.