please note that I made this in the early days of brawl
if you are interested, I made a bunch of posts long time ago soon after brawl came out (like a month or so?) about details of the game, including weight lists, random findings, among various other things such as this one.
All my results are accurate exactly, do not question them. Also read everything before answering questions that I'm not even going to answer, so don't bother asking lol. Hope this helps.
Running Speed List - this is what frame you die on on Bridge of Elden, from your starting position to running to the far end of the screen. I got lucky, and coincidentally, Sonic dies on frame 100, making it very easy to see the difference compared to other characters. It's not very difficult to test, all you have to do is put it to a 1 stock match and put a time limit on, then pause the game before you dash, note the last two digits, write it down and then hold right or left on the control stick so you dash in one direction for when you unpause. Have player 2 jump over you or move out of the way so you don't get slowed down any, and then whatever frame (or time rather) you die off the side you write down, then it's a simple matter of seeing what frame that is. I know how to convert to frames, as do people who play Target Test, so it's not very difficult for me, or anyone who knows what they are doing for that matter, it's just extremely time consuming. An interesting note I found out is that in Tiny Melee, Toon Link runs slower than normal (between Mario and Samus in speed), but on Giant Melee it seems like the same, and I haven't noticed anything special about other characters on different modes. Just thought I'd throw that out there. I tested each individual character many times to make sure they were all 100% accurate, so you can trust this list. Also the +anything numbers are to show how much of a difference there is from the characters, for lazy people.
100 Sonic
+46
146 C.Falcon
+7
153 Fox
+11
164 ZSS
+1
165 Sheik
+6
171 Metaknight
+5
176 Charizard
+2
178 Pikachu
+6
184 Diddy
+2
186 Marth
+2
188 Yoshi
+3
191 Toon Link
+4
195 DK
+6
201 Pit
+2
203 GW
+4
207 Bowser
+3
210 Ivysaur/Lucas/Mario/ROB
+7
217 Samus
+2
219 Falco
+3
222 Lucario
+3
225 Olimar/Wolf
+1
226 Ness
+1
227 ICs
+3
230 Ike/Kirby/Squirtle
+3
233 Peach/Snake/Wario
+2
235 Luigi
+1
236 Link
+21
257 DDD/Zelda
+14
271 Ganondorf
+14
285 Jigglypuff
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Walking vs Running Speed Increase - how many times your speed increases when you run instead of walking. Note that things like Sheik and ZSS they both increase by the same amount but due to things like rounding, only doing 1 stage to test it on, and walking speed acceleration compared to other characters especially, results might vary slightly from what they truely may be, but this is a fairly accurate list given the frames I have tested.
2.62 Charizard
2.55 C.Falcon
2.36 Sonic
1.97 Bowser
1.85 Lucas
1.64 Ness
1.62 Ganondorf
1.61 Wario
1.61 Snake
1.59 Olimar
1.58 Ike
1.58 Jigglypuff
1.58 Peach
1.54 Metaknight
1.53 Zelda
1.51 ZSS
1.5 Sheik
1.48 Yoshi
1.48 Ivysaur
1.46 Fox
1.46 ICs
1.46 Pikachu
1.45 Kirby
1.44 GW
1.43 Lucario
1.42 Diddy
1.4 Toon Link
1.4 Mario
1.39 Samus
1.39 DK
1.38 ROB
1.34 Pit
1.32 DDD
1.27 Luigi
1.2 Marth
1.17 Squirtle
1.15 Falco
1.13 Link
1.12 Wolf
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Walking Speed List - same way I tested running speed list, both acceleration and top speed are factors though obviously, see more notes at the bottom
224 Fox/Marth (Fox Accel better, Marth top speed better)
+12
236 Sonic
+11
247 Sheik
+1
248 ZSS
+3
251 Falco
+1
252 Wolf
+8
260 Pikachu
+1
261 Diddy
+2
263 Metaknight
+4
267 Link/Toon Link (Link Accel better, Toon Link top speed better)
+2
269 Squirtle
+2
271 DK
+1
270 Pit
+9
279 Yoshi
+11
290 ROB
+3
293 GW/Mario
+5
298 Luigi
+3
301 Samus
+9
310 Ivysaur
+7
317 Lucario
+15
332 ICs
+2
334 Kirby
+6
340 DDD
+17
357 Olimar
+7
364 Ike
+3
367 Peach
+3
370 Ness
+2
372 C.Falcon
+3
375 Snake/Wario (Snake Accel better, Wario top speed better)
+13
388 Lucas
+5
393 Zelda
+15
408 Bowser
+30
438 Ganondorf
+11
449 Jigglypuff
+12
461 Charizard (same top speed as Jiggs, WAY slower acceleration)
Fox Acceleration > Marth, Marth top speed > Fox
Falco Accel > Wolf, Wolf top speed > Falco
Sheik Accel > ZSS, ZSS top speed > Sheik
Pikachu Accel > Diddy, Diddy top speed > Pikachu
Sheik Accel WAY > Wolf (as shown, also same top speed)
Metaknight Accel > Toon Link (as shown, also same top speed)
Link Accel > Toon Link, Toon Link top speed > Link
Pit Accel > DK, DK top speed > Pit
ROB Accel > Mario(=GW) (as shown, also same top speed)
Samus Accel WAY > Ivysaur (as shown, also same top speed)
Kirby Accel > DDD (as shown, also same top speed)
Peach Accel > Ness (as shown, also same top speed)
C.Falcon Accel > Wario (as shown, also same top speed)
Snake Accel > Wario, Wario top speed > Snake
Zelda Accel > Bowser (as shown, also same top speed)
Jiggs Accel WAY > Charizard (as shown, also same top speed)
the warthog from Bridge of Elden runs slightly faster than ZSS walks
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Walking Speed Rankings List - Ranks characters in order from fastest to slowest in top speed of walking speed. A > means the character to the left of the > has faster acceleration than the character to the right of the >, but the top speed is the same. = means it's the same everything (Mario and GW).
1) Marth
2) Fox
3) Sonic
4) ZSS
5-6) Sheik > Wolf
7) Falco
8) Diddy
9) Pikachu
10-11) Metaknight > Toon Link
12-14) Link > Squirtle > DK
15) Pit
16) Yoshi
17-19) ROB > GW = Mario
20) Luigi
21-22) Samus > Ivysaur
23) Lucario
24) ICs
25-26) Kirby > DDD
27) Olimar
28) Ike
29-30) Peach > Ness
31-32) C.Falcon > Wario
33) Snake
34) Lucas
35-36) Zelda > Bowser
37) Ganon
38-39) Jigglypuff > Charizard
.