If your intention is to avoid being tracked, you could create a virtual machine and access the site only from inside it. This way your computer is virtual, and you can reset it any time, creating a new computer any time you wish.
If your intention is to not allowing the site owner to know you accessed it, you could use Google Cache, or Wayback Machine as @David said. This way you are not accessing the site directly, but using another service as a proxy.
You could use a browser for your day-to-day browsing, and another one only for sites you don't want to track you. Configure the secondary browser to delete all and any private information on exit. And use a proxy or VPN if possible. This way, every time you connect to the site, it would appear as if you were a different client, because any tracking information was wiped.