A: He swims 100 meters in one minute.

B: Really? I can’t believe it.
A: Me neither.

1. Me, neither.
2. I can't, either.
3. I can't believe it, either.
4. Neither can I.
5. Nor can I.
6. The same to me.
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Can we use those sentences instead of "Me neither." Do you have some more similar expressions?

All your variations are fine except 6.