I hate fighting Zangief as Mika. Between his V-Skill and grab-invincible EX SPD it feels like I have no way to start or continue pressure since regardless of what I do he has a get-out-of-jail-free card. It's infuriating.
He's Mika's worst MU next to Guile for a reason.
The EX SPD isn't the problem, though. There are ways to pressure him without having to worry about it, and it's a big risk to try to go for the throw invincibility with it when Mika is in. The issue is that you can't jump in on him (lariat, cr.HP), you can't drop kick (V-Skill), and he has largely superior footsies. It's why all you can do is cr.LK, cr.MK, and st.MK until you can catch them by surprise with a risky way to get in (dash > command grab, jump, drop kick). Otherwise, if a Gief is playing with awareness the whole time, you'll never be able to get anything started.
It's kind of why Laura is a bad MU for Mika, but amplified.
The MU chart I had made for myself recently:
The Birdie ones I'm not too certain of, because I don't have enough experience with the character. I put them as a personal comparison because he's a character I have been very interested in for a while, combined with the fact that NuckleDu considered replacing Mika with him.
I have more than enough experience with Mika to be very confident in her numbers at this point, though. The thing that saves her as a character, despite the fact that she loses—on paper—at the VS screen most of the time, is because she's Mika. If she gets in, she can technically steamroll any opponent with a sequence or proper reads and seem like a broken character. If she gets any character in the corner, it's gonna be a bad time for them.
Still, this is pretty much the reason that it can be disheartening playing her, as well. A character with no zoning capabilities and no reversals with 950 health is just part of it.