Here's the list of notable election law bills in the 114th Congress. ("Notable," in that I've decided they're notable?) It does not include any proposed constitutional amendments.
Two trends notable among these notables. First, none have made it out of committee. Second, I'd guess a majority are have serious constitutional doubts anyway, so maybe it's better that way?
H.R. 12: Voter Empowerment Act of 2015 (introduced March 19, 2015, by John Lewis; 178 co-sponsors). "To modernize voter registration, promote access to voting for individuals with disabilities, protect the ability of individuals to exercise the right to vote in elections for Federal office, and for other purposes."
H.R. 20: Government By the People Act of 2015 (introduced January 21, 2015, by John Sarbanes; 147 co-sponsors). "To reform the financing of Congressional elections by broadening participation by small dollar donors, and for other purposes."
H.R. 154: Close the Floodgates Act (introduced January 6, 2015, by Derek Kilmer; 87 co-sponsors). "To repeal the provisions of the Consolidated and Further Continuing Appropriations Act, 2015, which amended the Federal Election Campaign Act of 1971 to establish separate contribution limits for contributions made to national parties to support Presidential nominating conventions, national party headquarters buildings, and recounts."
H.R. 367: Campaign Sunlight Act of 2015 (introduced January 14, 2015, by Theodore Deutch; 7 co-sponsors). "To amend the Federal Election Campaign Act of 1971 to require the Federal Election Commission to establish and operate a website through which members of the public may view the contents of certain political advertisements, to require the sponsors of such advertisements to furnish the contents of the advertisements to the Commission, and for other purposes."
H.R. 411: Streamlined and Improved Methods at Polling Locations and Early (SIMPLE) Voting Act of 2015 (introduced January 20, 2015, by Steve Cohen; 27 co-sponsors). "To amend the Help America Vote Act of 2002 to promote early voting in elections for Federal office and to prevent unreasonable waiting times for voters at polling places used in such elections, and for other purposes."
H.R. 412: To reduce Federal spending and the deficit by terminating taxpayer financing of presidential election campaigns (introduced January 20, 2015, by Tom Cole; 1 co-sponsor).
H.R. 425: Stop Super PAC-Candidate Coordination Act (introduced January 21, 2015, by David Price; 6 co-sponsors). "To amend the Federal Election Campaign Act of 1971 to clarify the treatment of coordinated expenditures as contributions to candidates, and for other purposes."
H.R. 599: Stop Targeting of Political Beliefs by the IRS Act of 2015 (introduced January 28, 2015, by Paul Ryan; 13 co-sponsors). "To prohibit the Internal Revenue Service from modifying the standard for determining whether an organization is operated exclusively for the promotion of social welfare for purposes of section 501(c)(4) of the Internal Revenue Code of 1986."
H.R. 714: Leadership PAC Limitation Act (introduced February 4, 2015, by Michael Capuano; 2 co-sponsors). "To amend the Federal Election Campaign Act of 1971 to prohibit the conversion of leadership PAC funds to personal use."
H.R. 871: Formerly Incarcerated Voter Registration Act of 2015 (introduced February 11, 2015, by Hakeem Jeffries; 1 co-sponsor). "To amend title 18, United States Code, to direct the Bureau of Prisons to provide certain voting information to Federal prisoners upon their release from prison."
H.R. 885: Voting Rights Amendment Act of 2015 (introduced February 11, 2015, by Jim Sensenbrenner; 64 co-sponsors). "To amend the Voting Rights Act of 1965 to revise the criteria for determining which States and political subdivisions are subject to section 4 of the Act, and for other purposes."
H.R. 951: State Sovereignty in Voting Act (introduced February 12, 2015, by Matt Salmon; 4 co-sponsors). "To amend the National Voter Registration Act of 1993 to permit a State to require an applicant for voter registration in the State who uses the Federal mail voter registration application form developed by the Election Assistance Commission under such Act to provide documentary evidence of citizenship as a condition of the State's acceptance of the form."
H.R. 1346: Redistricting Transparency Act of 2015 (introduced March 10, 2015, by Jim Cooper; 19 co-sponsors). "To require States to carry out Congressional redistricting in accordance with a process under which members of the public are informed of redistricting proposals and have the opportunity to participate in the development of such proposals prior to their adoption, and for other purposes."
H.R. 1347: John Tanner Fairness and Independence in Redistricting Act (introduced March 10, 2015, by Jim Cooper; 14 co-sponsors). "To prohibit States from carrying out more than one Congressional redistricting after a decennial census and apportionment, to require States to conduct such redistricting through independent commissions, and for other purposes."
H.R. 1518: Let It Go Act (introduced March 19, 2015, by Mark Takano; 1 co-sponsor). "To amend the Federal Election Campaign Act of 1971 to provide for a limitation on the time for the use of contributions or donations, and for other purposes."
H.R. 2143: EMPOWER Act (introduced April 30, 2015, by David Price; 1 co-sponsor). "To amend the Internal Revenue Code of 1986 to reform the system of public financing for Presidential elections, and for other purposes."
H.R. 2173: Redistricting Reform Act of 2015 (introduced April 30, 2015, by Zoe Lofgren; 35 co-sponsors). "To require States to conduct Congressional redistricting through independent commissions, and for other purposes."
H.R. 2392: Restoring Important Voter Eligibility Requirements to States Act of 2014 (introduced May 18, 2015, by John Culberson; 1 co-sponsor). "To amend the National Voter Registration Act of 1993 to require an applicant for voter registration for elections for Federal office to affirmatively state that the applicant meets the eligibility requirements for voting in such elections as a condition of completing the application, to require States to verify that an applicant for registering to vote in such elections meets the eligibility requirements for voting in such elections prior to registering the applicant to vote, and for other purposes."
H.R. 2501: Citizens’ Districts Preservation Act (introduced May 21, 2015, by Dana Rohrabacher; 15 co-sponsors). "To require certain States to retain the Congressional redistricting plans in effect as of the first day of the One Hundred Fourteenth Congress until such States carry out a redistricting plan in response to the apportionment of Representatives resulting from the regular decennial census conducted in 2020."
S. 212: LINE Act of 2015 (introduced January 21, 2015, by Barbara Boxer; 3 co-sponsors). "A bill to amend the Help America Vote Act of 2002 to ensure that voters in elections for Federal office do not wait in long lines in order to vote."
S. 229: Democracy Is Strengthened by Casting Light On Spending in Elections Act of 2015 (introduced January 21, 2015, by Sheldon Whitehouse; 42 co-sponsors). "A bill to amend the Federal Election Campaign Act of 1971 to provide for additional disclosure requirements for corporations, labor organizations, Super PACs and other entities, and for other purposes." (See also H.R. 430.)
S. 366: Senate Campaign Disclosure Parity Act (introduced February 4, 2015, by John Tester; 37 co-sponsors). "A bill to require Senate candidates to file designations, statements, and reports in electronic form."
S. 457: Civil Rights Voting Restoration Act of 2015 (introduced February 11, 2015, by Rand Paul; 1 co-sponsor). "A bill to secure the Federal voting rights of non-violent persons when released from incarceration." (See also H.R. 1556.)
S. 772: Democracy Restoration Act of 2015 (introduced March 18, 2015, by Ben Cardin; 10 co-sponsors). "A bill to secure the Federal voting rights of persons when released from incarceration." (See also H.R. 1459.)
S. 1088: Voter Registration Modernization Act (introduced April 27, 2015, by Kirsten Gillibrand; 5 co-sponsors). "A bill to amend the National Voter Registration Act of 1993 to provide for voter registration through the Internet, and for other purposes."
S. 1139: Same Day Registration Act (introduced April 30, 2015, by Amy Klobuchar; 1 co-sponsor). "A bill to amend the Help America Vote Act of 2002 to require States to provide for same day registration."