H.R. 4934, the Immigration Reduction Act, would cut legal immigration -- by reducing chain migration, ending the visa lottery, capping refugees and asylees, eliminating unnecessary worker visas, and ending birthright citizenship -- from around 1 million to around 320,000 a year, reducing U.S. population growth by about 5.8 million over a 10-year period.
H.R. 3862 would have cut legal immigration from around one million to below 300,000 a year -- near the traditional American level of immigration. It also would have eliminated one of the major incentives for illegal immigration by halting the granting of U.S. citizenship to babies born to illegal-alien mothers in the United States. The House leadership did not bring the bill to a vote.
H.R.3320 was the first comprehensive immigration reduction legislation to be introduced in the House since the 1920s. It would have cut legal immigration from around one million to just under 400,000 a year by reducing chain migration, cutting the number of employment-based green cards, reducing refugee and asylee admissions, eliminating the visa lottery, and boosting enforcement.
H.R. 4300 was a bill to radically increase annual immigration numbers by removing or increasing limits in most immigration categories. As well, H.R. 4300 created the diversity visa lottery. Traditional American immigration had averaged around 250,000 a year until the 1980s when it dramatically rose to around 500,000. Largely as a result of H.R. 4300, annual legal immigration has risen to around 1,000,000 (one million) a year.