Since Cloudflare decided to shut down its service to 8chan and Bitmitigate’s infrastructure provider Voxility also did the same I will provide you with two ways you can use to access these websites.
The first one is the well-established Tor network. Just download the Tor Browser and once you installed it and opened it log into http://oxwugzccvk3dk6tj.onion/ [UPDATE: link seems to be dead now]. These kind of Onion addresses can’t be accessed with regular browsers but you can access regular websites with the Tor Browser, which will provide you with a fair amount of anonymity at the cost of speed.
The other alternative is actually different to regular 8chan since it’s basically a different website but it’s worth considering due to it’s decentralized nature. Zeronet websites are decentralized and therefore they can’t be easily censored since no infrastructure is present, other than the peering nodes (i.e.: any computer in the network). Unlike Tor, Zeronet runs an app (process) in the background and uses your default browser. After downloading it, decompressing the file and opening the ZeroNet.exe file you’ll be connected to the network. Then go to this address: http://127.0.0.1:43110/1DdPHedr5Tz55EtQWxqvsbEXPdc4uCVi9D/. Bear in mind this IP address 127.0.0.1 is your own computer so this won’t work unless you first ran that ZeroNet.exe file.