Here are the notable ones I would change
5-5 vs Ermac: I think Ermac's zoning game is about on par with Cyrax's with the exception of a decent mix-up game to boot. His damage is on par with Cyrax's as well (not counting 80% reset since that is probably leaving tomorrow). All in all I think this match is extremely winnable as well as losable if you get behind at any point since trying to get in on ermac is a royal pain with force pushes and anti air uppercut into gravity squeeze. However, rax does win the projectile trade with nets so he can stay in the game fairly easy as well.
4-6 or even 3-7 vs Kabal : Maybe, I'm playing the match wrong but when I've played good Kabals (Michaelangelo) I feel like Cyrax can't really do anything meaningful. He builds insane meter with air gas blasts and ground blade and when he does get in cyraxs slow normals and no close range check move do him no favors in ever getting out of the 3,2 dash cancel block strings. What's worse is a good Kabal ends his combos with reset knee instead of a knockdown so rax's ex moves will be pretty useless since they suck outside of wake up.
4-6 vs Kitana: I'd say another match where Cyrax gets outzoned pretty hard and up-close he gets poked to death by low 1s. She also builds tons of meter for breakers. Kitana also a pretty much get out of jail free card with her db+1 which is surprisingly hard to anti air throw her out of. Also if rax trades projectiles with her its mostly an aerial net meaning 30-40% damage combos instead of the big ones rax needs to make meaningful progress, because she puts out similar damage.
5-5 vs Kung Lao: I saw some people post otherwise, I actually think this is a pretty decent match. Rax has a lot of answers for stuff he has, it is still hard but he can control KL pretty decently just because antiair is so godlike.
4-6 vs Liu Kang: I agree with Mustard's analysis on this match, I've lost to some pretty mash happy liu kang's finding this out the hard way.
5-5 vs Mileena: I think Mileena's mixup game on wake-ups is pretty dangerous to cyrax since her overhead hop going over cyrax's ex ragdoll and she is very mobile to boot. Also sai spam is fairly annoying though not as effective as Kitana. Cyrax doesn't have any notable advantages in this match therefore I'd say 5-5.
4-6 vs Noob Saibot: I will admit, I may play this match wrong, but I think this match really blows. Noob outzones rax hard and builds meter all day that he doesn't have to ever spend on ex's since he doesn't really do combos. Trading projectiles with him hurts and is easy to mistime meaning you won't get up fast enough after tackle to capitlize even if they don't have breaker. Noob also has amazing get off me moves with the shadow upkick and his teleport is of course always a factor when both are trying to zone. The other difference I find is noob is happy to just go back to zoning full screen after any combo rather than mixups, so you have to make gimmicky teleport reads at some point if you get behind.
3-7 vs Raiden: I think this is his worst match up of all. Raiden gets out of every non guaranteed setup without even thinking, his teleport is insanely safe and hard to punish even with proper reads, his guard strings due lots of chip and have good advantage. Honestly, if the raiden player is willing to just sit on the other side of the screen and just wait for you to do something he can teleport and superman his way to victory pretty easily. Cyrax's lack of pressure from both strings and projectile chip really makes it easy to wait around on him.
6-4 vs Sub-Zero: I honestly think this match is insanely easy. This is one of the few strong zoners due to sub's skill package that doesn't out zone cyrax. Projectile trades are even since both don't do damage and your follow-up options are way stronger than his, sub's mixup is slightly better than rax's but not much, as are his wake up attacks.