no probs at all here [firefox!]
Since the new upgrade a few days ago...

For me it is WWW.chess.com and I hit the login box on the middle right side - if I login wrong on purpose I always get in on the second try and it switches to a different screen with an error.
If I use my real login it returned me to the same page and just left me unlogged.

so I just went directly to www.chess.com/login.html and got right in on the first try.
Seems like an easy enough workaround to bypass the home page.
If you are a paid member ads may not pop up on you -
Us free guys get them