To is a preposition in this case, not an infinitive marker (cf. I used to do it this way ), so only the second and fourth sentences are grammatical.
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Which one is the correct one?
1) I'm used to do it this way not correct
2) I'm used to doing it this way. correct
3) I'm used to draw her eyes big. not correct
4) I'm used to drawing her eyes big. grammatically correct, but an odd sentence
bassa1) I'm used to do it this way.2) I'm used to doing it this way.3) I'm used to draw her eyes big.4) I'm used to drawing her eyes big.It seems you're working with two different idioms involving the verb 'use'.