Ice Climbers is definitely not above Peach and Falcon. Except for Sheik, who goes even, slightly wins, or can cheese them with Zelda, all the top tiers have a way of dealing with Ice Climbers. Fox can drill shine, Falco has his oppressing lasers, Marth simply outranges their approaches, Puff edge-guards and aerial camps can frustrate IC players, Peach d-smash and pretty much all her aerials, Falcon has insane pressure, and once they're in the air it's basically game over.
That being said, here's mine:
1. SS Tier: Fox: Self explanatory: Top 3 best results in any Smash Bros. game (Next to Pikachu and Meta Knight). Everyone knows how good Fox is and his even or better matchup against everyone blah blah blah moving on.
2 and 3. S Tier: Falco and Marth: This is a tie for me, as I really cannot feel which one is better. I think Falco is a really good character, but Marth has better results due to there being only 2 top Falco's, Westballz and Mang0, and there being a ton of strong Marth's out there like PPU, M2K, Rudolph, The Moon, and Colbol.
4. S Tier: Puff: Hungrybox's Puff is doing insanely well with multiple high placings like 3rd at UGC, 2nd at both Summits 3 and 4, Dreamhack Winter, and DPotG. Although, the lack of a notable win since EVO has been a dent into her, and her lack of a dedicated main fanbase is what really drags her down. If she had as much players as even Falco at 2 who are nearly as skilled as Hungrybox, then maybe she could be third.
5. S Tier: Sheik: I think Sheik is very close behind Puff, but she has not had a win at any major in I believe years. She has however gotten high placings thanks to M2K's usage of her, Plup doing very well recently, and Shroomed still doing well. She has the fanbase, but doesn't have the results of Fox, Falco, Marth, or Puff.
6. S Tier: Peach: Peach is tied with Sheik, yet slightly under. Much like Puff, she doesn't have the fanbase, but has the results from Armada. She is not as good as Puff however since Armada frequently pulls out his Fox, but his win at Genesis 4 only using Peach speaks volumes about her. If we see Armada solo-maining her more often, she could be flat out ahead of Sheik.
7. A Tier: Captain Falcon: Insane punish game, especially against the spacies, however he doesn't do too hot against the other top tiers. Fox can combo him hard and shine spike easily, Falco's lasers are oppressive, Marth isn't actually too bad for Falcon, but he can edge-guard him easily, Puff forces Falcon to approach, and can deny his approaches with the obvious b-air. If he gets her into her shield and tries to pressure her, she can rest out of it, however Puff's shield is pretty small. Peach loses to Falcon slightly until she gets a turnip, but Falcon is fast enough to stop her. Sheik can toss him like a ragdoll. All in all, he loses all matchups above him except Peach and Marth slightly.
8. A Tier: Ice Climbers: I explained this above, but in summary she loses all the matchups above her.
9. A Tier: Samus: Niche pick who is still very strong and hard to kill due to her insane recovery and weight.
10. A Tier: Pikachu: Another niche pick but still strong. Tail spike decimates opponents. Is close to Samus, if not tied with her, but again, lacks the fanbase of Samus mains like Hugs, Duck, and Plup's Samus.
11. B Tier: Yoshi: When played perfectly, Yoshi is definitely a top 3 character. He actually has a decent matchup versus Marth and can gimp fast fallers like Fox, Falco, and Falcon.
I'm just gonna list off the rest and I might do the explanations later:
12. B Tier: Luigi:
13. B Tier: Dr. Mario:
14. B Tier: Mario:
15. B Tier: Young Link
16 and 17: C Tier: Link and Ganondorf:
18. C Tier: Donkey Kong:
19. C Tier: Game & Watch:
20. C Tier: Pichu:
21. D Tier: Roy:
22. D Tier: Mewtwo:
23. D Tier: Ness:
24. D Tier: Zelda:
25 and 26. D Tier: Kirby and Bowser:
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: Roy, Ness, Kirby, Bowser
