Based on File:Initiatives,_referendums,_and_legislative_referral_in_the_United_States.png and File:Blank_US_Map_(states_only).svg
States that allow direct initiated constitutional amendments  States that allow legislatively-referred and direct initiative statutes, or legislatively-referred and direct initiated constitutional amendments or referendums.
  States that allow legislatively-referred and indirect initiative statutes, or legislatively-referred and direct initiated constitutional amendments or referendums.
  Illinois allows legislatively-referred initiative statutes, or legislatively-referred and direct initiated constitutional amendments or referendums.
  Florida allows legislatively-referred, and direct initiated constitutional amendments.
States and federal district that allow initiated statutes

  Massachusetts allows legislatively-referred and indirect initiative statutes, or legislatively-referred and indirect initiated constitutional amendments or referendums.
  States that allow legislatively-referred, indirect, and direct initiative statutes, or legislatively-referred initiated constitutional amendments or referendums.
  Idaho allows direct initiative statutes, or legislatively-referred initiated constitutional amendments or referendums.
  States that allow indirect initiative statutes, or legislatively-referred initiated constitutional amendments or referendums.
  Washington D.C. allows direct initiative statutes.
States that allow referendums

  States that allow legislatively-referred state statutes, or legislatively-referred initiated constitutional amendments or referendums. Or citizen initiated referendums of existing statutes.
  Delaware allows legislatively-referred state statutes or citizen initiated referendums of existing statutes.
States that allow legislative referral only

  Kentucky allows legislatively-referred state statutes and legislatively-referred initiated constitutional amendments.
  States that allow legislatively-referred initiated constitutional amendments only.
Own work
RayneVanDunem