Update from @bombdiggitybill: Wikia has released the database dump for the Soundboard Wiki.
I'm not too crazy about using Google but it's the only search engine that still has cached versions of the wiki available. If anyone has a better method, please let everyone know in the comments.
1. Go to encrypted.google.com
2. Enter site:soundboardprankcalls.wikia.com and [name of article or image file]
3. Copy the original address and enter it into Wayback Machine
4. If it hasn't been archived then copy the Google cache address and enter it into Archive.is