Falcon vs Luigi: Falcon has problem comboing luigi with Up air due to his floatiness. F-air works well for falcon but Luigi has a way better recovery. Back air helps vs Luigi also. Luigi doesn't have the priority or the speed to keep up with Falcon. Probably Equal or maybe better for Falcon. I haven't played enough matches vs Luigi's however.
I disagree. I feel this matchup is on Falcon's side by more than a little. I'm doing homework however, expect a more through response soon.
I'll start by saying that Falcon doesn't have trouble up-airing Luigi, especially if you fast-fall up-air inbetween them (most people forget this)
Luigi's recovery also isn't way better than Falcon's in the sense that unlike Mario's way better one, its a single hit that doesn't even knock away. It can also trade hits with Falcon's backair (hang-on ledge, press away from the ledge and very quickly back-air while Luigi up-bs or even Luigi's down-b tornado in some cases). The hits will trade and Luigi will fly away to his death. Luigi also doesn't have Mario-like fireballs to help his recovery. I have even done angled forward smashes at the very end of Luigi/Mario's Up-b and they trade hits as well, Luigi with a much greater chance of success for Falcon. If you force them to Up-B onto the stage, you can simply duck on the edge, take the hit and down-tilt. You have so many easy options to edgeguard Luigi with Falcon (and basically the entire cast) The lack of Mario fireballs let Falcon simply jump on the ledge whenever he wants to and when Luigi up-bs on to the stage, you ledge hop and down-air to whatever you want.
Indeed, Luigi's priority and awkward movement makes it hard for him to approach and mess Falcon up. He has the combos but not really the approachability to get them started unless the other Falcon makes some silly mistakes. I can only see things like retardedly offensive Falcon rushing in and getting Luigi up-smashed.
Luigi really is just an inferior Mario with only 3 move that are offensively better, down-tilt, up-b (debatable) and down-b.
If you think Link vs Falcon has it bad for Link, Luigi has it way worse.
This is a problem matchup for Luigi, not equal by any means.