For some reason I can't access the site from any of my home computers, but I can from my work. I'm thinkin' it has something to do with my router but I'm not sure. Any one have any ideas.?

I had the same issue, in reverse. I setup my account at home Tuesday evening, and today I tried to login from my laptop at work and was unable to. All the links I tried (having copied them exactly from my home PC even) just forwarded me back to the intro teaser page. Is that the same as your issue?
If that matches your problem, go back to the beta page on the new PCs and re-enter your email and beta key, and suddenly all those links will work. Kind of annoying, but hopefully we'll be able to just authenticate based on our email/password before too long regardless of what PC we're on.
If thats not a match for your problem, any descriptions you can give would be helpful for trying to diagnose it.

The same happened to me as pogle described, and I have to wonder if purging cookies on my workstation would force a repeat of the problem.
If that's the case, while it's not a deal breaker to have to reinput the beta invite code, it *is* a nuisance that I think is unnecessary every time I clear my browser's private data.

Heh, it can be a nuisance when you deleted your beta key, because you thought it's just one-time activation key as usual :(
Tried to contact support team yesterday, but unfortunately no response since then.
EDIT: I just acquired my beta key again :) Thanks GoG.com :)

Try to copy browser cookies from the computer that has access to GOG to your other PC.
I don't know if it will work though.

Have had the same problem for two weeks or so. One mail to the suppord and I got my beta key again and it was again possible to log in. :)

Ok, I copied my cookies from work to my home computer and that fixed it. A little weird, maybe it's some they need to look into.

It's not a bug, the site is deliberately set up to require a beta key-based cookie rather than just allowing people who have already proved their beta access (by entering the beta key at registration) to login normally.
That isn't true. You could store the beta key against the person's user account (ie the user types in the key at registration, the key is then marked as 'used' in your database). This would mean that only those with beta keys could have user accounts. Then just allow them to log in with their user account (as many times as they feel the need to clear their cookies) and store the _login data_ as a cookie.