Here's a list of various flags that have represented the U.S. throughout the nation's history:
Sons of Liberty - 1767
Forster - 1775
Continental Colors - 1775
Gadsden - 1775
Betsy Ross - 1776
Francis Hopkinson - 1777
Cowpens - 1781
French Alliance - 1781
Indian Peace - 1803
Star-Spangled Banner - 1813
20-Star - 1818
Great Star (20) - 1818
Old Glory - 1822
Great Star (26) - 1837
Great Flower - 1861
Concentric Circle - 1877
48-Star - 1912
49-Star - 1959
50-Star - 1960