More from the U.S., Bingley--

I've gotten a list--implies that I have made a bit of an effort to obtain it.

I've got a list--it's in my possession, no connotations.

I've gotten fond of blueberry pie = I've become fond...

I've got fond of...we don't say this, not ever, never.
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looking for a particular book in this house is like looking for ... anybody care to provide a suitable simile from their own experience?

a bit in a bucket. (Hi, Ted.)