Used to

Old Eladio wrote:

Please, tell me which one (ones) of these sentences are correct and which one is the most common? 1.- I haven’t got used to drinking wine. 2.- I haven’t gotten to drinking wine. 3.- I got not used to drinking wine. 4.- I didn't get used to drink wine.

1 is correct. 2 is incorrect. 3 is incorrect - it should be "I got unused to drinking wine.". 4 is correct.

1 and 4 are both common. 1 is the present perfect tense, and 4 is the simple past tense. they would be chosen depending on context.

Old Eladio wrote:

Please, tell me which one (ones) of these questions are correct and which one is the most common? 5.- Have you got used to living under these horrible conditions? 6.- Have you gotten used to living under these horrible conditions? 7.- Did you get used to living under these horrible conditions?

Again 5 is the present perfect and 7 is the simple past. Both are correct and both are equally common, depending on context.

6 is technically incorrect to me, but may not be to American English speakers. Having said that, it is spoken quite commonly even by British English speakers.