You could avoid taking the GRE at some schools by substituting another standardized graduate-level exam such as the MCAT or GMAT. But you won't get around the standardized test requirement at most schools without some kind of special exemption.
FIU --it's the only one that I know of.. but you get what you "pay for" and by that I mean, if the GRE isn't even required, it's probably not a great program. it's also in a pretty bad location.