I'm trying to find data that:
- is from the US AND
- from 1980 AND somewhat recent (within ten years) AND
- Interracial Marriages--Race/Ethnicity of the two people involved
I'm trying to look on the Census site but it's getting overwhelming.
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To the best of my knowledge (not authoritative, but based on a good bit of Census data experience), there are no general Census tabulations which break down the reported races of different people in a single household, whether spouses, children, or other. Generally, those details are rolled up in aggregate counts of people. There are a couple of ACS tables which get at the race of the householder, but not in comparison to the race of other people living in that household.
I've found a few reports generated by Census Bureau employees or other people who have privileged access to the data.
Pew Research Center did a substantial study on interracial marriage in 2017. You might take a look at the methodology section of their full PDF report for more on how they went about it.