Falco. This char has been great since his smash debut, unfortunatly for bowser he is too great. Bowser always has problems with charcters that dont have to come into range of a jab, tilt, or even upb oos to lay on the damage. Falco has the ability to put bowser into the kill percentages by simply not aproaching and stoping all of his aproaches with his reflector and/or laser. Not to mention a falco can chain grab you into spike, but early in a stock you shouldn't find this killing you if you immediatly fortress after the spike.(shouldn't)
Lets take a look at what aproaches bowser has on falco. Well bowser could normally use an arial sh as an aproach, unfortunatly if you try this you will either eat a laser shot or two OR you get a reflector in the face. Also as an aproach, bowser likes to try is a sh'd firebreath, this aproach is completly destroyed by the reflector not to mention you also get hit with the fire... not fun. Bowser walking in and tilting can also be used as an aproach, but since flacos lazer and reflector aren't hitboxes, they go right through your move. Are you noticing a trend? Basically bowser is shut down completly by those two moves.
Once off the level, though, falco becomes easy to deal with thanks to his horrible recovery going at an angle. Also, falco is light making getting him into the killing percents easy, but you wont find yourself hitting him often if the falco plays right. Basically, this not a good one for you AT ALL. You lose all aproaches and that pretty much gurantees you lose. Expect to lose when you see this matchup... its really that bad, 20- 80 or 30- 70 in falcos favor bad.