Any Amiga from 1992 or newer.
OS 3.0 or higher.
68020 processor or higher.
16 megs of fastram or more.
2 megs of chipram or more.
An AGA display.
69 megs of free hard drive space.
Total Chaos only actually uses about 1 meg of chipram and 11 megs of fastram so if you have an old 16 meg Amiga you should still be able to play the game while web browsing + IRCing + Emailing etc.
You do not need any graphics card.
You do not need any sound card.