Here's my results. I created a flat & straight 20-block long Custom stage with the Volcano Background for its black & white tile square floor for measurements. I used Wii Fit Trainer for a stationary dummy, including the Sandbag for a second opinion.
Horizontal
- Vision counter
- Back Slash
- Dash attack (tried my best inputting it from the starting point ASAP)
- F-smash 2nd hit angled upward
- Air Slash 2nd hit (hard testing this)
- B-air from behind (very, very tip)
- Full Jab combo
- F-smash 2nd hit without angling
- F-smash 2nd hit angled downward
- Forwarded Vision counter
- D-smash 3rd hit from the front (it's technically the 5th overall D-smash hit)
- Air Slash grounded 1st hit
- D-tilt
- F-smash 1st hit angled upward
- F-air from the front
- F-smash 1st hit without angling
- F-tilt
- F-smash 1st hit angled downward
- D-smash 2nd hit from the back (it's technically the 4th overall D-smash hit)
- D-smash 1st hit from the back (it's technically the 2nd overall D-smash hit)
- D-smash 1st hit from the front
- D-smash 2nd hit from the front (it's technically the 3rd overall D-smash hit)
- Jab-1 > Jab-2
- N-air from the front
- Jab-1
- U-tilt
- N-air from behind
- U-smash front-facing hit
- B-air front-facing hit
- Standing Grab
- U-smash back-facing hit
- D-air
- U-air
As far as Stationary movement goes, F-smash, B-air, & the 2nd hit of Air Slash are Shulk's top contending moves, although there are other good ones too. Remember that you can hold towards a direction while using Air Slash in midst of delaying the 1st slash so that your 2nd Air Slash hit can horizontally travel farther than rapidly pressing B or A twice to get a little bit of height.
ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
Vertical
Instead of a numbers list going from the longest to shortest range, I'll only rate the following moves in their own star tiers accordingly.
β
= Not meant for vertical range
β
β
= Poor
β
β
β
= Average
β
β
β
β
= Great
β
β
β
β
β
= Fantastic
Jab = β
β
Dash attack = β
F-tilt = β
U-tilt = β
β
β
β
β
D-tilt = β
F-smash = β
β
U-smash = β
β
β
β
D-smash = β
N-air = β
β
β
β
F-air = β
β
β
β
B-air = β
β
U-air = β
β
β
β
D-air = β
β
β
Back Slash = β
β
Air Slash = β
β
β
β
β
Vision = β
F-throw = β
B-throw = β
U-throw = β
β
β
D-throw = β