Falcon vs Bowser
Bowser has RANGE. Falcon does not. Bowser has PRIORITY. Falcon does not. But, you have SPEED, and bowser will be shock and awed by it.
This matchup is all about baiting and punishing, but on a bigger scale. Its a big spacing fight, use your long range moves wisely *utilt, ftilt, dtilt*
You need to keep a KO move fresh, I usually keep dsmash fresh for bowser. Find out what percent he needs to be at to get KOed, then land one and move on to the next stock. You DON'T want bowser living to the 160%s... cuz then that usually means you'll be down a stock.
Bowser's fair is powerful and hard to avoid because it comes out FAST. I don't recommend chasing dthrows because of this. Approach a bowser in the air cautiously, since getting faired isn't fun. Nair comes out fast as well, and his Uair can KO at 100%, if not less. Approach bowser from below, and this is a good chance to practice some falcon dives, since they can cut through his aerials with not too much difficulty.
Falcon kick is your approach of choice, but don't overdo it or you'll be falcon kicking into some fire breath. If he starts reading your kicks, then start jumping over him and planting bairs, or maybe add pressure with a falcon punch. Bowser does have cooldown on his fire breath, you may get lucky!
Bowser's throws are great... but he has a dangerous grab release combo to his jab. I suggest sitting outside of bowser range if you can, and if you can't then jab.
One last note, if you happen to be in body to body contact, BEWARE OF WHIRLING FORTRESS *Up and B* I'm not sure, but I think he may have super armor on the move, or even invincible frames. Whatever he has, it'll blast you high up and add a hefty bit of damage to you, as well as breaking any type of follow up you may have had. Whirling Fortress KOs at 120%ish if he hits you with the opening frames, so be on guard.
This matchup isn't bad, but its not good either. I'd give it an even 50:50 split, a neutral matchup. Bowser's raw strength and range is good, but falcon has all the answers built into his electric knee of justice. This is definately a winnable fight.
*quick note* Bowser is bigtime gimp material, go crazy with ledgedropped flubbed knees and uairs.