I guess I'll start the discussion of Captain Falcon. We can decide what's more important to discuss, but since no is saying anything, I'll start:
[50:50] Even Match Up
In general, both of these characters can really mess each other up. On one hand, you have Snake that excels in close range by using his grabs CF and potentially a 0% to death combo. Then on the other hand, you have CF that can juggle you to no end with amazing mobility. It's important to know that Snake needs to use mines and C4 to control the stage and the pace of the game. In doing so, you need to be ready for CF's approach options; SHFFL'd Nair/Dair/Fair/Uair, Side-B, DA, DownB, etc.
During the beginning of the match it depends on what you could varying on what stage your on, how good your opponent is and how good you are at your tech skill and reaction times. If you have good reaction time, you will no doubt excel. If you expect CF to approach you with SideB, just crouch and punish. But with stages like BF, YI, and other smaller stages, I think it would be best to predict when CF will approach accordingly. Laying a mine early could already be fatal if you time it wrong in the beginning of the match. With stages like Dream land, FD, and such, I would immediately lay a mine and predict CF's movement afterwards.
Chain grabs on CF are pretty straight forward. CG's can be a HUGE asset to potential combos into basically anything if you predict their DI. The CG usually goes from 0% - 40%. After that, you can decide what you can do based on the situation. CG's are probably the safest option to sticky CF. You could also UpB > Sticky as well, but spacing and DI is heavily dependent, so it's more riskier.
When recovering, you should always be high enough where CF can't reach you. As hard as it is, it's one of the few options that can help you get back on stage. If you're too low, CF can use any aerial, grab, or ledge grab you easily. One thing Snake can do is C4 recover away from CF's edge-guarding options and go from there. Grenade recovering is useful in certain situations. Halberd, DK's Jungle stage, and Delfino can help aid this recovery by going through the base platform of the stage.
Edge-guarding CF is basically predicting CF's recovery and deal with the situation accordingly. If CF is too low for you to Dair/Fair Spike, then don't do it. lol. I've seen Snake's do that and it's way too risky doing so. Being Flashy is fine, but the short term reward isn't worth it IMO. When talking with Professor Pro, he said that you could lay a mine and Wavedash to the ledge if you predict CF's UpB to land on the stage. To eliminating CF's sweetspot, you could potentially put a C4 close to the edge and detonate it. If placed right, the explosion should hit CF as the blast hitbox is big enough to go through the ledge. Another option, yet riskier one, is to jump off stage high enough to drop the C4 and kill him that way. The generic mine to nikita missle technique can be countered by invincibility from the ledge easily. So many snakes(including myself) do it naturally. It can be a good edge-guard, but you have to know when to assess the situation that way.
Pros:
- Snake CG's CF 0%-40% Range.
- Snake can have amazing stage control with mines, c4, grenades.
- Has many options to edge-guard CF very well.
- Crouching can help IMMENSELY in this MU.
Cons:
- CF has a lot of mobility where as Snake is slower.
- Can easily juggle Snake if not careful.
- Recovering in general is a problem.
- Due to slower mobility, has a harder time approaching.
Stages to go for IMO:
Neutrals (Bottom 7 Stages): I think anything is fine as long as your playstyle works for it. I usually go for the smaller stages to put a lot more pressure on CF so like:
BF, YI(Melee), FoD. But really, Anything but DL is fine IMO.
CP's: Anything that could limit CF's recovery like
PS1, PS2. Stages with a low ceiling like
Halberd or Norfair.
Stages to Strike IMO:
Neutrals: I would just say
Dream Land. DL practically eliminates your vertical kill option unless you know how to to completely destroy your opponent. Otherwise I would not go there.
CP's: Any stage that helps CF wall jumping recovery, large stages in general for CF to move around like
SSE, Skyloft, DK's Jungle, Dracula. But it's really up to you depending on how comfortable you feel with that certain stage.
A video of Unholydeath's Snake vs Hakeem's CF. Granted, UHDeath lost the set, but there are a lot of situations in which Snake can easily close off CF's approaching options. :