Requirements vary somewhat based on the type of visa you apply for, but there are some that are standard for all residency visas:
Country : Ecuador
Request for visa, written in Spanish and signed by you or your legal representative.
Visa application form with a passport-sized photo attached.
“Migratory Movement Certificate” showing all your comings and goings to and from Ecuador. (May be obtained at Immigration Office)
Notarized color copy of passport front page and stamp page
Notarized color copy of visa page (if you already have a visa)
Apostilled, translated criminal background check (Federal and State level)