Rep. John Larson says the switch would free lawmakers from constant fundraising.
Rep. Blake Farenthold proposed withholding pay from officials held in contempt of Congress.
Rep. Kevin Brady said the burden of filing tax returns today demonstrates a need for reform.
The temporary visa program for non-minister religious workers expires in 2015.
"We provide an education, then send graduates home to compete against us. It just doesn’t make sense,” Rep. Michael Capuano (D-Mass.) said.
Reps. Mike Turner (R-Ohio) and Niki Tsongas (D-Mass.) introduced legislation this week to combat sexual assault in the military.
The measure, called the FAIR Military Act, includes several provisions from legislation sponsored by Sen. Claire McCaskill (D-Mo.) that the Senate passed 97-0. For instance, it would limit the ability to cite a soldier's clean record when defending the person against sexual assault charges.
Virginia Rep. Jim Moran said the Obama budget is a far better blueprint than Paul Ryan's.
The passage of the fiscal 2015 blueprint is a significant victory for GOP leaders.
The House will finish consideration of the GOP 2015 budget on Thursday.
The chamber will hold a final vote on the measure, along with votes on two remaining substitute amendments from the Republican Study Committee and House Democratic Caucus.
Rep. Steve Israel (D-N.Y.) said minors who commit violent crimes can now easily purchase guns.