First video: was very impressed with 1:03. Excellent technique!... except it was only showing off, not really useful at that moment, lol.
Also, practice your edge-hogging. There was a time in 1:21 where Lucario made a mistake and you could have killed him that way easily.
Also, 1:53 was almost awesome... and then you epically ruined it, haha. The knee didn't nullify the fact that you killed yourself doing it while you DIDN'T have to kill yourself.
In the end, I like how you use Uair, but you should really give other moves a chance, too. Falcon's Dsmash is good for a KO move, if you know how to use it.
Second video: What I said before still stands: use other moves! You're not mixing it up enough.~
First time you use Usmash (1:30) and you actually get a KO with it? Lol, lucky. Still, you should use it more often, specially Hyphen Smash.
You're using Pivot grab a lot. I don't think Falcon's pivot grab is all that useful, but that's just me...
2:45. Okay, THAT was f****** impressive. Nice knee. Also, lol@falcon punching the aura sphere before.
The end was alright, good stage spike, but you shouldn't have needed to kill yourself while doing it. Alas, it got the job done.
All in all: you're a reasonable falcon. I can tell you got the theory to play a good falcon, so keep practicing!