Mines working perfectly.
Are you using the official client to download?
If so, stop. Head to your "\Documents and Settings\username\My Documents\My Games\FINAL FANTASY XIV Beta Version\downloads" and open the torrent for the file you want.
I had to do the same as well. Then I put in my password wrong when it finished and I tried to restart it so I can log in and keeps freezing. I heard the server crashed so that may be why....