From StrategyWiki, the free strategy guide and walkthrough wiki

Captain Falcon needs to be unlocked

The veteran of F-Zero fame has returned to the fray, this time, with his Blue Falcon at hand.

Contents 1 Standard Attacks 2 Special Attacks 3 Taunts 4 Final Smash

When the Raptor Boost is used in the air it immediately sends opponents flying to the ground, if it connects. The trick is using this to your advantage, it can work to edge-guard, as it can plummet the foe straight down. If it misses or the target air-dodges, Captain Falcon charges straight off the stage's edge, plummeting to his death.

He also excels with his throw combos, which makes it easy to set up combos. Every now and then set up a good 4 or 5 downward throws at once without letting your opponent recover from them too much.

The last thing is: Falcon punch is good when you have the chance. Don't go throwing out Falcon punch every second move; wait until you get the chance. One way is to use the Falcon Punch for edge guarding. Knock someone off the stage, then try to Falcon Punch them as they return. Also, if you push backwards right after starting a Falcon Punch, you will cause the Captain to turn around and punch behind him. This could be used to fake out your opponents.

[edit] Standard Attacks

Wii Remote + Nunchuk	Wii Remote (sideways)	Wii Classic Controller	GameCube Controller	Standard Attack	Info
+	+	+	+	Knee of Justice	This delivers electric damage and is very powerful if it hits just right.
Smash +	++	(Smash +) or	(Smash +) or	elbow Attack	He unleash some sort of powerful elbow attack
Smash +	++	(Smash +) or	(Smash +) or	Upward kick Attack	He does an upward kick attack
Smash +	++	(Smash +) or	(Smash +) or	duel kick attack	He does a double kick at enemies next to him.

[edit] Special Attacks

Wii Remote + Nunchuk	Wii Remote (sideways)	Wii Classic Controller	GameCube Controller	Special Attack	Info
				Falcon Punch	The main drawback of this attack is that it takes a bit of time to execute, so Falcon can easily be struck before his signature punch is unleashed. But when you can find the time to hit with this, it's easily his most potent attack. If you tilt the Control Stick backwards while this move charges, he'll turn around and perform it in that direction instead. Doing this makes it slightly more powerful, but also takes slightly more time to charge.
+	+	+	+	Raptor Boost	First he is just charging at the opponent. At the encounter, his fist becomes coated with fire, then...POW! This will launch the opponent up if used on the ground, or launch down if used in the air. Since Falcon charges straight forward in the air, this can be used as a recovery move. But when Raptor Boost is used in the air, Falcon will be completely helpless until he lands, even if it hits.
+	+	+	+	Falcon Dive	This is Captain Falcon's main recovery move; He'll leap into the air and attempt to grab an opponent and deal fire damage to him/her. This is notable for being an aerial grab attack, which can be surprisingly useful to capture shield-users on different platforms.
+	+	+	+	Falcon Kick	Capt. Falcon launches forward with his foot cloaked with flames, attacking any one or anything in his path. This travels forward when used on the ground, but at a downward angle if used in the air.

[edit] Taunts

Wii Remote + Nunchuk	Wii Remote (sideways)	Wii Classic Controller	GameCube Controller	Taunt
				He charges up with a fiery aura.
+	( or )+	or	or	He holds out one hand in a beckoning gesture and says, "Come on!"
	+			He salutes and says, "Show me ya' moves!"

[edit] Final Smash

Blue Falcon: Captain Falcon summons his Blue Falcon in front of him to hit any number of opponents. Captain Falcon then teleports his victim to an unknown track and rams them with his car, the Blue Falcon. The attack causes very high knockback, often a one-hit KO if the opponent has a medium damage level. However, this only works if he hits someone when summoning his car. He is the only character with a cinematic final smash.