I can confirm that the 0 to death combo still works. I don't have excellent execution, but I was able to pull it off at least 2-3 reps on various members of the cast up to around 70%. I believe that was the same pre-1.04.
The misinformation from above came from the fact that most of Peach's changes were really just bug fixes. TLC, instant turnip pull, and float negating stale moves are likely not what the developers intended. Although losing those tools does sting.
http://youtu.be/f6pjFKbw3i0
The 0-death combo that no longer works is the one as shown above. This worked because after Peach footstooled her opponent, (in this case robin,) she instantly snapped back to the ground through air dodging without landing lag. This bug was removed so she cannot perform this technique anymore.
http://youtu.be/qvzl0Z63-AU
The 0-death combo that still works is this one. [Down-throw Turnip -> Footstool -> Float -> Float-release + N-air Sourspot + Turnip catch -> Repeat] Sour spot N-air still forces a get-up and leaves them vulnerable for continuing the combo.
The description in the video lists characters that it doesn't work on. I look the liberty of testing it out on them post-1.04. Here are my findings:
No reps:
-Sheik
-Olimar
One rep from 0%:
-Toon Link
-Lucario
One rep up to and including 1%:
-Link
One rep up to and including 2:
-Charizard
Works, but very inconsistent:
-ROB
One rep, too high re-catch turnip. [Down-throw turnip, footstool, float, float release Nair, fastfall] Works up to ~72%, depending on the turnip that's pulled:
-Bowser Jr.
Too hard to footstool to be practical:
-Ness
-Villager
-G&W
-Pikachu
Possible, but difficult to do. Must delay float from footstool. Timing is tight, since it's tough to sour spot the Nair AND catch the turnip:
-Jigglypuff
-Kirby
Works. Must delay float a bit:
-Robin
I didn't test it beyond the characters listed in the description, but i figure it'll still work the same, since nothing has changed about Peach to stop it from working. Although, testing on each member of the cast is still warranted.
EDIT: BTW, hi, I'm relatively new here! =3