Counting Sheik and Zelda as different characters...
So no Zelda Down B joke.
Jab - Ganon
Jab Combo - Falcon? Most of these suck. The Gentleman is probably the most practical.
Jab Rapid Combo - Kirby
F-Tilt - Sheik
U-Tilt - Marth
D-Tilt - Roy / Sheik
Dash Attack - Sheik
F-Smash - Marth / Mario
U-Smash - Fox
D-Smash - Peach
N-Air - Link
B-Air - Sheik
F-Air - Marth
D-Air - Falco
U-Air - Sheik / Donkey Kong
Neutral B - Falco
Down B - Fox / Jigglypuff
Up B - Bowser
Side B - Jigglypuff / Doc
Grab - Marth
Dash Grab - Sheik
Grab Attack - Peach
U-Throw - Fox
B-Throw - Ness
F-Throw - DK Cargo Throws (All of them; notably Cargo U-Throw)
D-Throw - Ganon
Ledge Attack <100 - Bowser
Ledge Attack >100 - No idea
Nurgle.
Ganon's D-throw is better than Sheik's, in that in chain grabs roughly the same characters, but also adds Fox and Falco to that (and I think it chain grabs Sheik higher than she can to herself). Sheik's Grabs are easier to get because of her superior Grab range, but for the actual throw Ganon has a better one.
Roy's D-tilt is very, very stupid. The reason it's not super broken is because, basically, it's on Roy. Give that to Marth and all of a sudden his ground combo starters have a spammable, nearly unpunishable move with brokenly good IASA, that lead into his lovely tipped Fair, his spike, and F-smash, and his grab (the grab is notable for space animals; D-tilt --> Chain Grab anyone?). Stick that on basically any good character and it's an awesome combo starter with super IASA and range. Because it's Roy it doesn't look that good, but in reality it's actually really good.
What would make someone have a better D-tilt, basically, is the speed difference. Because it comes out frame 8, which is somewhat late (1 frame later than Marth, 3 later than Sheik). I think the combo power and range makes it stupid enough to be better, but Sheik's would be a very good contestant simply on the grounds of speed.
Mario's F-smash is very, very good. Mario just happens to suck. Marth's might be (read: probably is) better but I think on a character who could lead into F-smash, I would ideally want Mario's simply because of the better consistency for results and comboing (18% with high consistency, good knockback, easy to ledgedash into for edgeguarding Sheik, etc). And it's mostly a combo finisher and edgeguard anyways. Marth's still is probably better because of the better speed and range though.
Dair is a no-brainer. Falco is gay.
Rest vs Shine is difficult because one kills you instantly and IMHO is much better in human play. Jigglypuff lacks outlets to combo into Rest beyond Shield, U-tilt, U-air, Nair, Dair, Pound, U-throw, and tech chasing. However, of those however many listed, none of them (aside from tech chase and OoS) are particularly reliable. U-throw Rest is DIable. Pound, Dair, Nair, Uair, U-tilt are all DIable. Imagine, though, Rest on a fast character. With methods to set up Rest that were inescapable. Horrifying. Absolutely horrifying. Sheik with Rest destroys every character in the game without breaking a sweat. Or a stock. Grab Fox once, D-throw him, tech chase him properly with reaction time, and he dies. Fox with U-throw Rest defeats most characters after 5 lasers and a grab.
Shine is more versatile. Undeniably. But Rest... is better because of human error. If we were to discuss infinite potential then Shine eviscerates everything but so long as there is error... one hit kill, one frame, best combo finisher, best tech chase if possible, best move out of shield except maybe Bowser's Up+B, etc.
Bowser has the best Up+B. No real debate. Fortress-Shielding is so incredibly stupid it basically forces you to camp Bowser if you don't have more range. Combined with ledge stalling and whatnot it becomes really freaking stupid.
Peach's D-smash is stupid and good. I used to think Sheik's was better, because of the range, but lately I think Peach's shield-stab power and multi-hit and how awkward it makes you play against some of her pressure makes it the better move. I could be wrong but oh well if I am then I guess I quit life? Meh. The range difference doesn't seem to do much either lately, because people keep shield DIing my D-smashes and punishing me afterwards unless they're like... Falcon... so yeah.
U-tilt and F-tilt didn't take any thinking. And they really shouldn't.
F-Air goes to Marth because it's stupid.
N-Air is Link's because it's stupid and has broken IASA and priority and combos into stupid stuff and has the super non-commitment because of how its hitbox and IASA work.
Sheik has the best U-Air. Her or DK, at any rate, but probably Sheik. It has more knockback than DK's I think, in exchange for 1% and autocancel, but I think Sheik takes it because of the killing power; it's close though. Fox's is not the best because you can SDI it. Sheik's only looks not super broken comparatively because she doesn't have Fox's broken U-throw setup. If you gave Fox Sheik's inescapable U-Air he would be considerably gayer.
Bair is either Fox, Falco, Sheik. I personally think it's Sheik. Not much else to see here. I think Sheik takes it from range but the sex kick properties of Fox / Falco's Bair are very desirable. Then again, Sheik's knockback is also easily controlled and it's very good for gimping too so it's a preference call I think.
Side B I stuck Puff here because with it she has the best recovery in the game. And sometimes it breaks shields, combos into stupidity, and does other stuff. Doc's cape is also very notable because of gimping power. Side Bs on the whole are mediocre; if there's someone I missed that's secretly got a great Side B tell me but the runners-up to those two were like Samus missiles, Mario Cape, and Raptor Boost. Since Raptor Boost is super punishable, Mario Cape is inferior to Doc Cape except for recovery, and Samus missiles aren't great as a projectile anyways, I gave it to Puff for best recovery and Doc for stupid gimping power and ultimate Rest punish setup.
U-Smash is Fox because of the speed difference with Pikachu's. It comes out faster. Has less lag. Harder to punish when spaced. Other useful stuff.
Ganon's Jab is dumb and knocks over into tech chases and stuff. It could be Sheik's or Marth's (Marth for gimping, Sheik for stuff) or something but I think Ganon takes it. Jabs are situational. You could argue Jigglypuff or Kirby because they let forced wake-up --> stupid stuff combos happen to higher percents because they're so weak and make a good case probably. Pikachu's infinites against walls. But for general purpose I think Ganon has the best.
I don't remember if Ness's B-throw is stronger than Mewtwo's. I think it is, but I could be wrong.
DK has the best "F-Throw" with his Cargo Throw stance. For a real F-throw it's probably Marth.
U-Throw is probably Fox because of easy follows. If we count Cargo Throws then it's DK's. For easier follows.
Sheik's Dash Attack is one of the dumbest moves in the game.
I think for Jab combos (like Mario's) the Gentleman takes it for practical application. Jabs are somewhat of a touchy subject though and most of them suck or are generally situational.
Falco's gun is super amazing. Laser to grab on a character who can combo and kill from grab would be stupidly broken. Runner up was Fox's gun because of the camping and chip damage power. Lasers are really unbelievably gay. After that it was needles probably, very likely, and after that I didn't care because neutral Bs tend to be crap projectiles.