An aversion is an aversion. It's not right or wrong - it's
there.
That said, it sounds to me that you have no problem with "What did you get for Christmas?" but you do have a problem with "I got a CD player for Christmas."
Try another verb and you'll see how strange this is. ("What did you buy with your lunch money?" - "I bought lots of chocolate.")
If the verb "get" is okay in the question, why isn't it okay in the answer?
My guess is that you've read about or listened to too many gripes about "got" in other contexts (as Heron said, some people don't like "I've got a X", for example, since "I have a X," is sufficient). It sounds like grammar gripes have trained your ear to hypersensitivity, so that now you're reacting adversly to "got" even if it's just the normal past tense of "get" (and it's hard to justify not using the past tense of a verb, if you'd use the present tense without second thoughts.)
Since you didn't correct "What did you get for Christmas?" this a plausible hypothesis, but only you can find that out.
For the first one, ask yourself what you think about: "I always get emotional watching
Casablanca." (The "get" not the sentence.
) If this doesn't bother you, you've porbably internalised and overgeneralised a grammar gripe.