What contents should I put on my academic website?
At the very least, you should have your name, contact information, and a bio of what you do. That's the minimal advertising necessary to serve as a useful "see my site for more details on what I do".

Given that almost everyone who visits your site will either be looking for someone's name or a paper you've previously published, the next most useful information to include would be: 
- Lab members contact info &amp; bios
- Publications with downloadable links

I would definitely recommend putting pictures up as well, so people will recognize your face when they see you at conferences. Same for lab members.

Links to other affiliations is nice, but almost certainly not important. Practically no one will follow them. Whether to list your CV is up to you; people who need it will often ask you, but it won't hurt to have it live. Depending on your research, you can have a "recent news" section where you advertise any particularly notable publication or mention in the popular press.

Finally, if you teach, I recommend putting links to the course website (which may or may not be part of your academic website), as many students will find your page by googling and will be looking for course info.