Those fine gentlemen up there did a great job explaining how to be a good, efficient Falcon player, but no Falcon is complete without a little style. Your main style moves, as you probably know, are as follows:
Stomp
Up tilt
The People's Elbow A.K.A forward smash (for those hard reads)
The Knee of Justice
Falcon Punch
So let's start from the top of the list downward. Stomp has many practical uses that are also very stylish. You have your obvious offstage spike, and an onstage one could possibly lead to a knee at kill percents. Another thing I like to do with it is when your opponent is at 0%, try doing a dash grab to forward throw if they don't tech the landing, then whack them with a dair to lock them, then proceed with whatever you like. It's not guaranteed that they won't tech or jump out of the way, but it works surprisingly often. One of the most stylish things you could do to someone is this: Say you are hanging from a ledge on a stage with a walljumpable wall. Your opponent is standing at the edge charging a smash attack or something like that. He's around 80%. Drop from the ledge by tapping away from the stage, then quickly walljump, jump again onstage and stomp him in one fluid motion. You should be facing the stage and you opponent should be in the air about a double jump up. He should be up there long enough for you to slam him with the gnarliest knee he's ever seen. This is very situational and rarely have I ever done this in a real match, but when that opportunity comes, and it will, you'll feel like a god.
Good ol' up tilt. Often dubbed the "rage quitter" by my friends, will make you feel so horrible you'd want to quit the game... If your the one on the receiving end. Believe it or not, there is an actual true combo into a spiking uptilt, which is falling up air to up tilt at around 50%. Do this at the ledge and you have yourself a clean, stylish kill. By far the most satisfying uptilt you could ever do is one that spikes either Fox or Falco's side be. Slamming those former top tiers with the heel of your mighty boot all the way to their doom is one of the best, and stylish things to do in the game.
Not much to say about the fiery People's Elbow besides the fact that if you get hit by it, you messed up big time. This move is good for those disgusting roll reads because of its range and power but if you miss expect to be punished. Getting smacked by the manliest elbow in the game will leave them regretting being born.
Knee. Infamous for its shockin electricity, feared for its devastating power. Land a knee and you know you have the upper hand. Good setups include dash grab down throw to knee, which is a true combo on most characters around 60%, and falling up air to knee from anywhere between 60% to 110%. If you are expecting an air dodge after a down throw, wait it out and knee them when they become vulnerable. This is a staple for C.Falcon because it is reliable, efficient, early killing, high damaging, and most importantly, loaded with style. Recovering opponents often get caught off guard by a "drop zone knee". The drop zone is the area which you fall to after running offstage that is directly diagonal and downward from the ledge. Quick, stylish, and potent. As I said before, stomp to knee is a true combo at certain percents (forgive me, I can't remember them of the dome). This will usually snag the kill, but if not, the true combo does a whopping 33% and they will usually be offstage for an edge guard opportunity.
FALCON... PAAAWWNCHH!!!! The elite in style and the ultimate in disrespect, you know death is coming as soon as Captain Falcon utters those famous words. It is the most famous move in the game for good reason, as it never fails to instill hype into onlookers, pride into your heart, and devastating dread and embarrassment into the unfortunate soul on the other end of the flaming fist. There are no set ups for this move, but rather good situations in which you should try it. When your opponent is on the ledge, condition them to do ledge rolls by holding a toward the ledge, but far enough away to not be hit by ledge attack, once they start consistently rolling on stage. Do a slick reverse Falcon Punch to end the stock. Trying to land and your opponent is charging a smash attack? Land with the Falcon Punch. Reading an air dodge after down throw works occasionally too. Finally, a new thing that I found out recently is that you can b reverse a Falcon Punch by inputting the command during another move. This is especially useful while walling with back airs and inputting a b reversed Falcon Punch towards the end of the back air animation. You should land facing your opponent with the explosive fist cocked back and primed.
I really hope this helped you brother. Style is the biggest part in Falcon's game because it is SCIENTIFICALLY PROVEN that a boring Falcon never succedes. Have yourself a good time wielding the most powerful and manly man in the universe and welcome to the club. Also, if you have any questions, it would be my honor to answer them.
Falcon be with you
