One of the 2005 crop of American Goldfinches:

More from 2003:

A pair of American Goldfinches has been visiting my bird feeder.
two finches on a feeder female Goldfinch on feeder two finches on the windowsill male Goldfinch on feeder, with flowers he is watching me

There are also House Finches:
male House Finch on feeder male House Finch on feeder juvenile or female House Finch?

(After two weeks Grackles and Cowbirds moved in, chased the finches away, and drained the feeder in a day. The feeder is gone now. Unfortunately I have no pictures of a Grackle doing a hummingbird impression, hovering in midair trying to get at the feeder.)