American English, especially Midwestern English (or so they say) preserves archaic forms because the majority of English immigrants in early times came from Protestant regions north and east of London where people simply talked like that. There's a name for that region, but I can't recall it.

gotten
proven
hidden
snuck
mad, meaning angry
leapt (pronounced lept)
swam
dreamt (pronounced dremt)

There are probably more. In England this is considered 17-Century language.
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"I've got" is standard. "I got" to mean "I have" is not standard. However, "I went to the grocery store and got a pound of apricots" is okay, because here "got" is the past tense of get, not of have.

I used to have a neighbor who was an avid gardener, and one day her little daughter said to me, "She gots too much plants." Cute!