Sorry for being late to the thread. Stopped lurking because it was inactive a bit ago and came back to this.
vs
40:60 (Falcon's favor).
R.O.B is big and floaty, which means he is prime for dthrow>upair strings. R.O.B's smashes are also really slow, and Falcon punishes hard. It isn't completely unwinnable, R.O.B can really shut falcon down with projectiles. But once Falcon gets in, it's hard to force him out. If you can cheese really ****ing hard, you can win. It just takes a lot of work.
vs
30:70 (Sheik's Favor).
Basically the Falcon match up but worse. Sheik can't be walled as easily as Falcon, and she can combo us much more easily. She can also use needles to interrupt top charging, and interrupt the laser start up. We're not completely nullified by Sheik, but it's difficult.
vs
20:80 (Villager's favor).
Fom my knowledge, this is our worst match up by far. His recovery is too good to gimp/WoP, he can nullify our gyro, and can generally combo us better. One of R.O.B's best qualities is covering options, Villager just has too many for us to deal with.
Okay, writing all that made me cry a bit. But let's remember R.O.B has good/even match ups too.
vs
70:30 (R.O.B's favor).
Not too good for Ganon. Can easily be cheesed out with gryos. He can very easily be gimped, spiked, or WoP, Unless that Ganon is @
The Real Inferno
and he humiliates you with power shields. Just make sure you don't let him get close.
vs
80:20 (R.O.B's favor).
R.O.B can easily keep Little Mac away. It's no contest. At Least Ganon has good aerials, Little Mac is restricted to the ground. Easy pickings with gyro/laser. He is an up close character ala Sheik and Falcon, but once he hits us, what's he going to do? Follow up?
In the air? He does have super armor, but we can easily punish it. We can cover every option Little Mac has.
vs
30:70 (R.O.B's favor).
Bowser doesn't have much to match R.O.B. He's very big and floaty. He's extremely susceptible to DTUA, and it's easy to chip away at him with projectiles. His fire doesn't have priority on laser or gyro. We can even recover from Bowsercide, he really has no leg up here.
vs
55:45 (R.O.B's favor).
This matchup is not fun for either party. It's not really difficult persay, it's just a camp fest. I do think R.O.B has the leg up (Gyro can be reused), but it's definitely anybodys game here. You can take his metal blade and use it against him, but he can also do the same with gyro. We have laser, he has crash bomber. We have gyro, he has metal blade. Good up airs, good throws, good up smashes, good fairs. It's remarkable how similar these 2 robots are. The only trick we have is that gyro is a better projectile.
That's all I have to say for now. These are the only matchups I can extendedly write on. I have opinions for other characters too, but nothing to really say yet. My matchup ratings may be a little extreme, maybe 10 or so off (either direction).
Here's a list off the top of my head. (I'm not saying rob has more good matchups then bad. I have a lot of gaps in my MU knowledge.)
Positive(+):
Neutral/Even:
Negative(-):