What people did the spanish explorers conquer?

Look into the history of Florida, just for one example. Also check into the history of Central America, South America, Mexico, the SW United States, Costa Rica and you will evidence of Spanish colonization and conquests.

Spanish colonization of the Americas - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Spanish_colonization_of_the_Americas)
Index to Conquest (http://www.floridahistory.com/start.html)
Spanish Explorers (http://www.elizabethan-era.org.uk/spanish-explorers.htm)
spanish explorers+conquests - Google Search (http://www.google.com/search?q=spanish+explorers%2Bconquests&sourceid=ie7&rls=com.microsoft:en-US&ie=utf8&oe=utf8)