I would like to know U.S. House of Representatives from Houston, Atlanta, and Los Angeles in 1980. I know districts and city boundaries do not overlap, but is there any way to know them?
Los Angeles
Wikipedia's page for California's Congressional districts will tell you the historical boundaries from 2002-2010. You can then work backwards from those to find districts from Los Angeles in 1980.
For example, if you look at the map, you will see that the 31st district was in Los Angeles in 2002. The Wikipedia page says that the 31st was redistricted from the 30th. The 30th district was from Los Angeles in 1980. George E. Danielson. You can see that if you look at the historical list of representatives for the 30th.
Atlanta
Atlanta is simpler. Wikipedia has the map in effect in 1980. It shows that Atlanta covered the 4th (Elliott H. Levitas) and 5th (John Lewis).
Houston
Texas also has a historical map from 1980. It looks like Houston was covered by the 7th (Bill Archer), 8th (Bob Eckhardt), and 18th (Mickey Leland) in 1980.
Summary
I picked out the districts by eye. I'm not so familiar with any of these cities that I could not have made a mistake. I'm confident that these districts each had a slice of the listed city. I'm not confident that I didn't miss any. And of course, I hardly tried with California. That's more just to get you started.