What do I suggest? Absolutely nothing like that website. I think I may have already "hinted" that.
Ask your client this question: who is the website for? Is it for their own egos or is it for their customers? If the answer is the latter (as it probably will be) then your client should know that "flashy", overly-designed and obnoxious designs like that are unlikely to be appreciated by their customers.
Content is what matters first and foremost. After that, a simple, clean design is all that's needed. Your client may need to be reminded that the design is there to support the content, not the other way around. I hardly know of any people who value that sort of design any more. While the design may have an element of "gee whiz" about it the first time a user is exposed to it, after a while it will just get in the way of usability.
And that's very bad.
Please don't be offended. You asked. I gave you my opinion.